SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549



                                   SCHEDULE TO

            TENDER OFFER STATEMENT UNDER SECTION 14(d)(1) OR 13(e)(1)
                     OF THE SECURITIES EXCHANGE ACT OF 1934
                                (Amendment No. 1)

                              TIMET Capital Trust I
                           Titanium Metals Corporation
                            (Name of Subject Company)

                                   Valhi, Inc.
                       (Names of Filing Persons (Offeror))

        6 5/8% Convertible Preferred Securities of TIMET Capital Trust I
    Convertible Preferred Securities Guarantee of Titanium Metals Corporation
                         (Title of Class of Securities)

                             887381408 and 887381309
                      (CUSIP Number of Class of Securities)

                                Steven L. Watson
                      President and Chief Executive Officer
                                   Valhi, Inc.
                              Three Lincoln Centre
                          5430 LBJ Freeway, Suite 1700
                               Dallas, Texas 75240
                                 (972) 233-1700
                  (Name, Address and Telephone Number of Person
  Authorized to Receive Notices and Communications on Behalf of Filing Persons)

                                    Copy to:
                               Don M. Glendenning
                                 Toni Weinstein
                            Locke Liddell & Sapp LLP
                          2200 Ross Avenue, Suite 2200
                               Dallas, Texas 75201
                                 (214) 740-8000

                            CALCULATION OF FILING FEE

      Transaction Value *                           Amount of Filing Fee**
        $10,000,000                                        $2,000

*    Estimated  for purposes of  calculating  the amount of the filing fee only.
     Calculated by multiplying  the $10.00 tender offer price by 1,000,000,  the
     maximum amount of securities to be purchased in the offer.

**   Calculated as 1/50 of 1% of the transaction value.





|X|  Check  the  box if any  part  of the  fee is  offset  as  provided  by Rule
     0-11(a)(2)  and  identify  the  filing  with which the  offsetting  fee was
     previously  paid.  Identify the previous filing by  registration  statement
     number, or the Form or Schedule and the date of its filing.

     Amount Previously Paid:   $2,000                 Filing Party:  Valhi, Inc.
     Form or Registration No.:  Schedule TO           Date Filed:    May 5, 2003

|_|  Checkthe box if the filing  relates  solely to  preliminary  communications
     made before the commencement of a tender offer.

Check the appropriate boxes to designate any transactions to which the statement
relates:

|_|  third-party tender offer subject to Rule 14d-1.

|X|  issuer tender offer subject to Rule 13e-4.

|_|  going-private transaction subject to Rule 13e-3.

|_|  amendment to Schedule 13D under Rule 13d-2.

Check the following box if the filing is a final amendment reporting the results
of the tender offer: |_|





     This Amendment No. 1 amends and  supplements  the Tender Offer Statement on
Schedule TO filed on May 5, 2003 (the "Schedule TO") by Valhi,  Inc., a Delaware
corporation ("Purchaser").  The Schedule TO relates to the offer by Purchaser to
purchase up to 1,000,000 6 5/8%  Convertible  Preferred  Securities,  Beneficial
Unsecured Convertible  Securities,  liquidation preference $50 per security (the
"Securities"),  which represent undivided  beneficial ownership interests in the
assets of TIMET  Capital  Trust I, a  Delaware  statutory  business  trust  (the
"Trust"), at a purchase price of $10.00 per Security, net to the seller in cash,
upon the terms and subject to the  conditions set forth in the Offer to Purchase
dated  May 5,  2003  (the  "Offer to  Purchase")  and in the  related  Letter of
Transmittal, copies of which were attached to the Schedule TO as Exhibits (a)(1)
and  (a)(2)  (which,  together  with  any  amendments  or  supplements  thereto,
collectively  constitute  the "Offer").  The  Securities  include the associated
guarantee by Titanium  Metals  Corporation,  a Delaware  corporation  ("TIMET").
Capitalized  terms used and not otherwise defined herein shall have the meanings
assigned to them in the Offer to Purchase or the Schedule TO.

Item 1.  Summary Term Sheet

     Item 1 of the Schedule TO is hereby amended and supplemented to include the
following information:

     The second bullet point in the Summary Term Sheet contained in the Offer to
Purchase on Page 1 is amended and restated to read in its entirety as follows:

     o    "Valhi,  Inc.,  a  Delaware  corporation.  We may be  deemed  to be an
          affiliate  of TIMET and the TIMET  Capital  Trust I, and,  along  with
          certain related parties and affiliates, own approximately 42.2% of the
          outstanding  securities  of the class that we are offering to purchase
          and approximately  48.9% of the outstanding  shares of common stock of
          TIMET  (approximately  51.7%,  assuming  full  conversion of only such
          securities we beneficially own into shares of TIMET common stock). See
          "Section 8. Certain Information Concerning Purchaser."

     The  Summary  Term  Sheet  contained  in the Offer to  Purchase  is further
amended and supplemented to include the following information:

                                  "RISK FACTORS

          Before deciding whether or not to tender any of your  securities,  you
     should consider  carefully the following risks and potential  disadvantages
     of the offer:

     We did  not  obtain  a  third-party  valuation  or  appraisal  and  did not
     determine the terms of our offer through arms-length negotiation.

          We did not base our  determination  of the  terms of our  offer on any
     third-party  appraisal or valuation.  We established the terms of our offer
     without  any  arms-length  negotiation.  We do not know  whether  our offer
     reflects the price that could be realized upon a sale of your securities to
     another party. You may be able to obtain a higher price for your securities
     now or in the future from another party.

     Our offer may not represent fair market value.

          There is no established or regular trading market for your securities,
     and trading in the securities has been limited and sporadic. Our offer does
     not  necessarily  reflect the price that you would  receive if there was an
     active trading market for your securities. Such prices could be higher than
     our offer.

     Our  offer  is  substantially   less  than  the  redemption  value  of  the
     securities.

          The  offer  is  substantially   below  the  redemption  price  of  the
     securities.  While  there  is no  assurance  the  securities  will  ever be
     redeemed,  if they were to be redeemed,  it would be at a higher price than
     our offer. We may be deemed to control TIMET and therefore,  subject to the
     financial  capability  of TIMET,  we could  take  action to cause  TIMET to
     redeem the  securities  at some future date.  However,  we do not presently
     intend to do so.

     Holding your securities may result in greater future value.

          Although we do not believe  that a  redemption  of the  securities  is
     currently  contemplated,  you might  receive  more value if you retain your
     securities until such time as the securities are redeemed. Additionally, in
     the future you may  receive a higher  value for your  securities  in market
     transactions,  privately  negotiated  sales or  through  subsequent  tender
     offers made by us or other persons.

     We are not making a recommendation with respect to this offer.

          We are not  making any  recommendation  to any holder as to whether to
     tender  securities and are remaining  neutral towards the offer. We believe
     that this is a personal  investment  decision for each holder.  Each holder
     must  make  its  own  investment  decision  as to  whether  to  tender  its
     securities  and, if so, how many  securities to tender.  Each holder should
     discuss  whether  to  tender  its  securities  with its  financial  and tax
     advisors.

     The sale of your securities is a taxable transaction.

          If your  securities  are purchased in the offer,  your receipt of cash
     will be a taxable  transaction to you for federal  income tax purposes.  In
     general,  for federal income tax purposes,  you will recognize gain or loss
     equal to the  difference  between  your  adjusted  basis in the  securities
     (including  any  accrued  and  unpaid  distributions  through  the  date of
     purchase  pursuant  to the offer) and the  amount of cash you  receive  for
     those  securities.  However,  your tax consequences from the tender of your
     securities in the offer can be complicated, and you should consult your own
     tax advisor to understand how the offer will affect you.

     If you  tender  securities  to us in this  offer,  you  will no  longer  be
     entitled to distributions.

          If you tender  your  securities  in  response  to our offer,  you will
     transfer  to us  all  right,  title  and  interest  in  and  to  all of the
     securities we accept, and the right to receive all distributions in respect
     of such securities on and after the date on which we accept such securities
     for purchase. Accordingly, for any securities that we acquire from you, you
     will not receive any future distributions. In addition, no payments will be
     made in the offer for any  distributions  that are accrued and unpaid as of
     the  date  payment  is  made  for  the   securities.   TIMET  has  deferred
     distribution  payments  on the  securities,  beginning  with the  scheduled
     distribution  payment on  December  1, 2002.  As of May 1, 2003,  the total
     amount of deferred distributions per security was $2.24.

     If we acquire a sufficient number of securities in this offer, we could own
     a majority of the outstanding  securities and direct some actions  relating
     to the securities.

          It is possible  that, as a result of the offer,  we and our affiliates
     may beneficially own a majority of the outstanding securities.  The holders
     of a majority of the securities  have the right to direct the time,  method
     and place of  conducting  any  proceeding  for any remedy  available to the
     trustee  under the  indenture  relating to the  guarantee  or to direct the
     exercise  of any  trust or power  conferred  upon  such  trustee  under the
     guarantee.  In addition,  the holders of a majority of the securities  have
     the  right  to  direct  the  time,  method,  and  place of  conducting  any
     proceeding for any remedy  available to certain  trustees under the Trust's
     Declaration  of Trust  or to  direct  the  exercise  of any  trust or power
     conferred upon such trustees under the Declaration of Trust,  including the
     right to direct such trustees to exercise the remedies available to them as
     a  holder  of the  convertible  debentures  issued  concurrently  with  the
     securities.  In addition,  termination of the Trust requires the consent of
     at least a majority of the securities.  The maturity date of the securities
     cannot be changed, the principal amount and interest rate of the securities
     cannot be  reduced  and the time  when  interest  is due on the  securities
     cannot be extended,  in each case without the consent of all of the holders
     of the securities.

     We may delay our acceptance of, and payment for, your securities.

          We reserve  the right to extend the  period of time  during  which our
     offer is open and thereby  delay  acceptance  for  payment of any  tendered
     securities.  Although  you will retain  your  withdrawal  rights  during an
     extension  of the offer,  the offer may be  extended  indefinitely,  and no
     payment will be made in respect of tendered securities until the expiration
     of the offer and acceptance of securities for payment."

Item 2.  Subject Company Information

     Item 2 of the Schedule TO is hereby amended and supplemented to include the
following information:

     Section  6 of the  Offer  to  Purchase  on  page 13 is  amended  to add the
following after the table of sales prices for the TIMET Shares:

          "The high and low  sales  prices  for the  periods  indicated  for the
     Securities as reported by NASDAQ are set forth below.



                                                    High       Low
2001
----
                                                        
First Quarter..........................................*..       *
Second Quarter......................................$32.50    $ 5.29
Third Quarter.......................................$26.39    $16.00
Fourth Quarter......................................$17.66    $ 5.00

2002
----
First Quarter**.....................................$15.00    $15.00
Second Quarter......................................$20.13    $19.03
Third  Quarter.........................................*         *
Fourth Quarter......................................$14.07    $ 5.00

2003
----
First Quarter.......................................$15.54    $ 2.25
Second Quarter (through May 13, 2003)...............$19.50    $10.00


     *    No reported trades during the indicated quarter.
     **   Only one reported trade during the indicated quarter."

     Section  6 of the  Offer  to  Purchase  on  page 14 is  amended  to add the
following as the last paragraph of Section 6:

          "All  rights of a holder of  Securities  to receive  distributions  in
     respect  of  Securities  tendered  in the  Offer  will  be  transferred  to
     Purchaser  on the date on  which  Purchaser  accepts  such  Securities  for
     purchase.  Accordingly,  the  current  holder of such  Securities  will not
     receive any future distributions on such Securities on and after such date.
     In  addition,  Purchaser  will not make any  payments  in the Offer for any
     distributions  that are accrued  and unpaid as of the date  payment is made
     for the  Securities.  As of May 1,  2003,  the  total  amount  of  deferred
     distributions per Security was $2.24."

     Section  7 of the  Offer  to  Purchase  on  page 14 is  amended  to add the
following as the last sentence to the first full paragraph of Section 7.

          "Purchaser remains  responsible for the information  contained in this
     Offer to Purchase."

     Section  7 of the  Offer  to  Purchase  on  page 14 is  amended  to add the
following as the second to last paragraph of Section 7:

          "The  Convertible  Debentures  mature  on  December  1,  2026 and bear
     interest at the rate of 6.625% per annum, payable quarterly in arrears. The
     Convertible   Debentures   have   provisions   with  respect  to  interest,
     redemption,   conversion   into  TIMET  Shares  and  certain   other  terms
     substantially  similar or  analogous to those of the  Securities.  Interest
     payment  periods may be extended from time to time by TIMET for  successive
     periods not exceeding 20 consecutive  quarters for each such period (during
     which  interest will continue to accrue and compound  quarterly).  Prior to
     the  termination  of any extension  period,  TIMET may further  extend such
     extension  period;  provided that such  extension  period may not exceed 20
     consecutive  quarters and may not extend  beyond the  maturity  date of the
     Convertible  Debentures.  Upon the termination of any extension  period and
     the payment of all amounts  then due,  TIMET may  commence a new  extension
     period, subject to certain limitations. No interest will be due and payable
     during an extension period. The Convertible  Debentures are subordinated to
     all  senior  indebtedness  of TIMET  and  effectively  subordinated  to all
     existing and future indebtedness and liabilities, including trade payables,
     of TIMET's subsidiaries.  The Trust holds $201.241 million principal amount
     of  the  Convertible  Debentures,   representing  all  of  the  issued  and
     outstanding Convertible Debentures."

Item 3.  Identity and Background of the Filing Person.

     Item 3 of the Schedule TO is hereby amended and supplemented to include the
following information:

     Schedule I to the Offer to Purchase is amended and  restated to read in its
entirety as follows:

                                   "SCHEDULE I

    INFORMATION CONCERNING THE DIRECTORS AND EXECUTIVE OFFICERS OF PURCHASER

     The following table sets forth the name and present principal occupation or
employment, and material occupations,  positions, offices or employments for the
past five years of each  currently  serving  director and  executive  officer of
Purchaser. The current business address of each person is c/o Valhi, Inc., Three
Lincoln Centre,  5430 LBJ Freeway,  Suite 1700,  Dallas,  Texas 75240. Each such
person is a citizen of the United States of America.

                     Positions and Offices   Material Positions Held During
     Name             Held with Purchaser         the Past Five Years

Thomas E. Barry      Director                Dr.  Barry  is vice  president  for
                                             executive   affairs   at   Southern
                                             Methodist University and has been a
                                             professor of marketing in the Edwin
                                             L.  Cox  School  of   Business   at
                                             Southern Methodist University since
                                             prior to 1998.  Dr. Barry is also a
                                             director of Keystone.

Norman S. Edelcup    Director                Since 2001,  Mr. Edelcup has served
                                             as senior vice president of Florida
                                             Savings Bancorp.  He also serves as
                                             a trustee  for the Baron  Funds,  a
                                             mutual  fund  group.   Mr.  Edelcup
                                             served as senior vice  president of
                                             Item Processing of America, Inc., a
                                             processing  service bureau ("IPA"),
                                             from  1999 to 2000 and as  chairman
                                             of the  board of IPA from  prior to
                                             1998 to 1999.

Edward J. Hardin     Director                Mr.  Hardin is also a  director  of
                                             CompX.   Mr.   Hardin  has  been  a
                                             partner of the law firm of Rogers &
                                             Hardin LLP since its  formation  in
                                             1976.  Mr.  Hardin also serves as a
                                             director   of  Westrup,   Inc.,   a
                                             manufacturer   of  seed  processing
                                             machinery.

Glenn R. Simmons     Vice Chairman of the    Mr.  Simmons has been vice chairman
                      Board                  of  the  board  of  Purchaser   and
                                             Contran  since  prior to 1998.  Mr.
                                             Simmons  is  a   director   of  NL;
                                             chairman  of the board of  Keystone
                                             and CompX; and a director of TIMET.
                                             Mr.  Simmons has been an  executive
                                             officer and/or  director of various
                                             companies  related to Purchaser and
                                             Contran since 1969.  Mr. Simmons is
                                             a brother of Harold C. Simmons.

Harold C. Simmons    Chairman of the Board   Mr.  Simmons  has been  chairman of
                                             the board of Purchaser  and Contran
                                             since  prior to 1998 and was  chief
                                             executive officer of Purchaser from
                                             prior to 1998 to 2002 and president
                                             of Purchaser and Contran from prior
                                             to 1997 to  1998.  Mr.  Simmons  is
                                             chairman  of the  board of NL.  Mr.
                                             Simmons   has  been  an   executive
                                             officer and/or  director of various
                                             companies  related to Purchaser and
                                             Contran since 1961.  Mr. Simmons is
                                             a brother of Glenn R. Simmons.

J. Walter Tucker, Jr. Director               Mr. Tucker has been the  president,
                                             treasurer  and a director of Tucker
                                             &   Branham,   Inc.,   a   mortgage
                                             banking,  insurance and real estate
                                             company,  and vice  chairman of the
                                             board and a  director  of  Keystone
                                             since prior to 1998. Mr. Tucker has
                                             been an  executive  officer  and/or
                                             director   of   various   companies
                                             related to  Purchaser  and  Contran
                                             since 1982.

Steven L. Watson     President and Chief     Mr.  Watson has been  president  of
                      Executive Officer      Purchaser   and   Contran,   and  a
                      and Director           director of Contran, since 1998 and
                                             chief    executive    officer    of
                                             Purchaser since 2002. Mr. Watson is
                                             also a director of CompX, Keystone,
                                             NL and TIMET. From prior to 1997 to
                                             1998,  Mr.  Watson  served  as vice
                                             president    and    secretary    of
                                             Purchaser  and Contran.  Mr. Watson
                                             has served as an executive  officer
                                             and/or    director    of    various
                                             companies  related to Purchaser and
                                             Contran since 1980.

William J. Lindquist Senior Vice President   Mr.  Lindquist has served as senior
                                             vice  president  of  Purchaser  and
                                             Contran, and a director of Contran,
                                             since 1998. From prior to 1998, Mr.
                                             Lindquist  served as vice president
                                             and tax director of  Purchaser  and
                                             Contran.  Mr.  Lindquist has served
                                             as  an  executive   officer  and/or
                                             director   of   various   companies
                                             related to  Purchaser  and  Contran
                                             since 1980.

Bobby D. O'Brien     Vice President, Chief   Mr.  O'Brien  has  served  as chief
                      Financial Officer      financial   officer  of   Purchaser
                      and Treasurer          since 2002 and vice  president  and
                                             treasurer of Purchaser  and Contran
                                             since  prior to 1998.  Mr.  O'Brien
                                             has   served   in   financial   and
                                             accounting  positions  with various
                                             companies  related to Purchaser and
                                             Contran since 1988.

Robert D. Graham     Vice President          Mr.   Graham  has  served  as  vice
                                             president of Purchaser  and Contran
                                             since  October  2002.  From January
                                             1997 to October  2002,  Mr.  Graham
                                             served as an executive officer, and
                                             most  recently  as  executive  vice
                                             president and general  counsel,  of
                                             Software  Spectrum,  Inc.  ("SSI").
                                             SSI        is       a        global
                                             business-to-business       software
                                             services  provider that is a wholly
                                             owned   subsidiary   of   Level   3
                                             Communications.  From  1991 to June
                                             2002,  SSI  was a  publicly  traded
                                             corporation. From 1985 to 1997, Mr.
                                             Graham  was a  partner  in the  law
                                             firm of Locke  Purnell Rain Harrell
                                             (A  Professional  Corporation),   a
                                             predecessor  to Locke  Liddell  and
                                             Sapp LLP.

J. Mark Hollingsworth Vice President and     Mr.  Hollingsworth  has  served  as
                       General Counsel       vice  president  of  Purchaser  and
                                             Contran  since  1998 and as general
                                             counsel of  Purchaser  and  Contran
                                             since    prior   to    1998.    Mr.
                                             Hollingsworth  has  served as legal
                                             counsel   of   various    companies
                                             related to  Purchaser  and  Contran
                                             since 1983.

Gregory M. Swalwell   Vice President and     Mr.  Swalwell  has  served  as vice
                       Controller            president of Purchaser  and Contran
                                             since   1998  and   controller   of
                                             Purchaser  and Contran  since prior
                                             to 1998. Mr. Swalwell has served in
                                             accounting  positions  with various
                                             companies  related to Purchaser and
                                             Contran since 1988.

Eugene K. Anderson    Vice President and     Mr.  Anderson  has  served  as vice
                       Assistant Treasurer   president and  assistant  treasurer
                                             of  Purchaser   and  Contran  since
                                             prior to  1998.  Mr.  Anderson  has
                                             served as an  executive  officer of
                                             various    companies   related   to
                                             Purchaser and Contran since 1980.

A. Andrew R. Louis    Secretary              Mr.  Louis has served as  secretary
                                             of  Purchaser   and  Contran  since
                                             1998. From prior to 1998, Mr. Louis
                                             served  as  corporate   counsel  of
                                             Purchaser  and  Contran.  Mr. Louis
                                             has  served  as  legal  counsel  of
                                             various    companies   related   to
                                             Purchaser and Contran since 1995.

Kelly D. Luttmer      Tax Director           Ms.   Luttmer  has  served  as  tax
                                             director of  Purchaser  and Contran
                                             since 1998. From prior to 1998, Ms.
                                             Luttmer  served  as  assistant  tax
                                             manager of  Purchaser  and Contran.
                                             Ms.   Luttmer  has  served  in  tax
                                             accounting  positions  with various
                                             companies  related to Purchaser and
                                             Contran since 1989."

Item 4.  Terms of the Transaction.

     Item 4 of the Schedule TO is hereby amended and supplemented to include the
following information:

     The last  sentence  of the  second  paragraph  of Section 1 of the Offer to
Purchase on page 6 is amended and restated to read in its entirety as follows:

     "Subject  to the terms of the Offer as of the  scheduled  Expiration  Date,
     which will initially be 20 business days following the  commencement of the
     Offer (the "Initial  Expiration  Date"), and the other conditions set forth
     in "Section 11. Conditions of the Offer," Purchaser will accept for payment
     and pay for all Securities  validly tendered and not withdrawn  pursuant to
     the Offer promptly after the Expiration Date."

     The third  sentence  of the first  paragraph  of  Section 2 of the Offer to
Purchase on page 7 is amended and restated to read in its entirety as follows:

     "Subject to applicable rules and regulations of the SEC, Purchaser reserves
     the right to delay  acceptance of or payment for  Securities  subsequent to
     the Expiration  Date in anticipation  of receiving  necessary  governmental
     approvals."

     The second to last  paragraph of Section 2 of the Offer to Purchase on page
8 is amended and restated to read in its entirety as follows:

     "If  Purchaser  does not  purchase  Securities  in the Offer,  certificates
     evidencing unpurchased Securities will be returned,  without expense to the
     tendering holder,  Security Certificates  evidencing unpurchased Securities
     will be returned,  without expense to the tendering holder (or, in the case
     of Securities tendered by book-entry transfer into the Depositary's account
     at DTC pursuant to the procedure  described in "Section 3.  Procedures  for
     Accepting  the Offer and Tendering  Securities,"  such  Securities  will be
     credited to an account  maintained at such Book-Entry  Transfer  Facility),
     promptly following the expiration or termination of the Offer."

     The first bullet point of Section 11 of the Offer to Purchase on page 20 is
amended and restated to read in its entirety as follows:

          o    "any statute, rule, regulation,  judgment, order, stay, decree or
               injunction   shall  have  been  threatened,   proposed,   sought,
               promulgated,   enacted,  entered,   enforced,  or  deemed  to  be
               applicable   by  any   court  or   governmental   regulatory   or
               administrative  agency,   authority  or  tribunal,   domestic  or
               foreign,  which,  in Purchaser's  reasonable  judgment,  would or
               might directly or indirectly prohibit, prevent, restrict or delay
               the  consummation  of the  Offer,  including  any such event that
               would make the Offer illegal;"

     The third bullet point of Section 11 of the Offer to Purchase on page 20 is
amended and restated to read in its entirety as follows:

          o    "there  shall  have  occurred  (a)  any  general  suspension  of,
               shortening  of hours for or  limitation  on prices for trading in
               securities   on  The  New   York   Stock   Exchange   or  in  the
               over-the-counter  market  (whether  or not  mandatory);  (b)  any
               significant  adverse change in the United  States'  securities or
               financial  markets such that there shall have occurred at least a
               25 basis point increase in LIBOR or the prime rate, or at least a
               5%  decrease  in the price of the  10-year  Treasury  Bond or the
               30-year  Treasury  Bond, or at least a 5% decrease in the S&P 500
               Index,  the Dow  Jones  Industrial  Average  Index or the  NASDAQ
               Composite  Index, in each case measured between close on the last
               trading day  preceding the date of the Offer and the close on the
               last trading day preceding the Expiration Date; (c) a declaration
               of a banking  moratorium or any suspension of payments in respect
               of banks by federal  or state  authorities  in the United  States
               (whether or not mandatory);  (d) the commencement of a war, armed
               hostilities  or other  national  or  international  emergency  or
               crisis;  (e) any  limitation  (whether or not  mandatory)  by any
               governmental  authority  on, or other event  having a  reasonable
               likelihood  of  affecting,  the  extension  of credit by banks or
               other  lending   institutions  in  the  United  States;  (f)  any
               significant  change in United States currency  exchange rate such
               that there  shall have  occurred at least a 5% change in the spot
               foreign currency exchange rate between the U.S. Dollar and any of
               the euro,  the British  pound,  the  Japanese  yen,  the Canadian
               dollar or the Swiss  franc,  in each case  measured  between  the
               close on the last trading day preceding the date of the Offer and
               the close on the last trading day preceding the Expiration  Date,
               or a  suspension  of, or  limitation  on,  the  markets  therefor
               (whether or not mandatory); (g) a decline in the closing price of
               a TIMET Share or a share of Purchaser's common stock of more than
               5% measured  from the close on the last trading day preceding the
               date of the Offer and the close on the last trading day preceding
               the  Expiration  Date; or (h) in the case of any of the foregoing
               existing  at  the  time  of the  commencement  of  the  Offer,  a
               significant acceleration or worsening thereof;"

     The fifth bullet point of Section 11 of the Offer to Purchase on page 20 is
amended and restated to read in its entirety as follows:

          o    "there shall have occurred,  exist or be likely to occur or exist
               any event or series of events or condition  that, in  Purchaser's
               sole judgment,  (a) could  prohibit,  prevent,  restrict or delay
               consummation of the Offer; (b) will, or is reasonably  likely to,
               result in the  consummation  of the Offer not being, or not being
               reasonably  likely to be, in Purchaser's  best  interest;  or (c)
               materially and adversely affect Purchaser's and its subsidiaries'
               business,  assets,  condition  (financial or otherwise),  income,
               operations or prospects or stock ownership,  taken as a whole, or
               otherwise  materially  impair in any way the contemplated  future
               conduct of Purchaser's business;"

Item 5.  Past Contacts, Transactions, Negotiations and Agreements.

     Item 5 of the Schedule TO is hereby amended and supplemented to include the
following information:

     Section  8 of the  Offer  to  Purchase  on  page 18 is  amended  to add the
following   before  the  last   paragraph  of   subsection   entitled   "Certain
Relationships and Transactions":

          "Insurance  Matters.  Tall Pines  Insurance  Company  ("Tall  Pines"),
     Valmont Insurance Company  ("Valmont") and EWI RE, Inc. ("EWI") provide for
     or broker  certain of TIMET's  insurance  policies.  Tall Pines is a wholly
     owned  captive  insurance  company of  Tremont.  Valmont is a wholly  owned
     captive insurance company of Purchaser.  Parties related to Contran own all
     of the  outstanding  common  stock of EWI.  Through  December  31,  2000, a
     son-in-law of Harold C. Simmons  managed the operations of EWI.  Subsequent
     to December 31, 2002,  pursuant to an agreement that may be terminated upon
     90 days written notice by either party,  this son-in-law  provides advisory
     services  to EWI as  requested  by EWI,  for which the  son-in-law  is paid
     $11,875 per month and receives  certain other  benefits under EWI's benefit
     plans.  Since March 2003,  such  son-in-law  serves as the  chairman of the
     board of EWI.  Consistent with insurance  industry  practices,  Tall Pines,
     Valmont and EWI receive  commissions  from the  insurance  and  reinsurance
     underwriters  for the policies  that they  provide or broker.  During 2002,
     TIMET paid  approximately $3.4 million for policies provided or brokered by
     Tall Pines, Valmont and/or EWI. These amounts principally included payments
     for reinsurance and insurance premiums paid to unrelated third parties, but
     also included commissions paid to Tall Pines, Valmont and EWI.

          Proposed  Transaction.  On September 19, 2001,  Purchaser  announced a
     proposal whereby the shares of the common stock of NL held by Purchaser and
     Tremont would be transferred to TIMET in exchange for TIMET debt and equity
     securities.  On  September  27,  2001,  Purchaser  withdrew its proposal to
     TIMET, concluding that the business and financial prospects of NL and TIMET
     in the then current economic  environment would be difficult,  resulting in
     an impairment of the parties  ability to properly and adequately  value the
     securities of both companies.

          Utility  Services.  In  connection  with  the  operations  of  TIMET's
     Henderson,  Nevada facility,  TIMET purchases certain utility services from
     Basic  Management,  Inc. and its  subsidiaries  (referred  to  collectively
     herein as "BMI") pursuant to various agreements.  A wholly owned subsidiary
     of Tremont owns  approximately 32% of the outstanding  equity securities of
     BMI  (representing  26% of the voting securities of BMI). During 2002, fees
     for such utility services provided by BMI to TIMET were  approximately $2.8
     million."

  Item 6.  Purposes of the Transaction and Plans or Proposals.

     Item 6 of the Schedule TO is hereby amended and supplemented to include the
following information:

     The first  paragraph  of Section 10 of the Offer to  Purchase on page 19 is
amended and restated in its entirety to read as follows:

          "Purpose  of the  Offer.  The  purpose  of  the  Offer  is to  acquire
     Securities  for  investment  purposes.  Historically,  the  titanium  metal
     industry,  and therefore  TIMET's  results of operations,  have been highly
     cyclical.  The titanium  industry  historically  has derived a  substantial
     portion of its business from the aerospace industry. The cyclical nature of
     the  aerospace  industry has been the principal  reason for the  historical
     fluctuations  in the  performance of titanium  companies.  Over the past 20
     years, the titanium  industry had cyclical peaks in mill product  shipments
     in 1989, 1997 and 2001 and cyclical lows in 1983, 1991 and 1999. Demand for
     titanium  reached  its  highest  peak in 1997 when  industry  mill  product
     shipments  reached an estimated  60,000 metric tons.  Industry mill product
     shipments  subsequently  declined  approximately  5% to an estimated 57,000
     metric tons in 1998.  After  falling 16% from 1998 levels to 48,000  metric
     tons in 1999 and 2000,  industry shipments climbed to 55,000 metric tons in
     2001. However,  primarily due to a decrease in demand for titanium from the
     commercial  aerospace  sector,  total industry mill product  shipments fell
     approximately 20% to an estimated 44,000 metric tons in 2002. TIMET expects
     total industry mill product  shipments in 2003 will decrease  slightly from
     2002  levels.  Given  this  highly  cyclical  nature of  TIMET's  business,
     Purchaser believes that the Securities may represent a long-term investment
     opportunity."

     Section  10 of the  Offer  to  Purchase  on page 19 is  amended  to add the
following as the second paragraph of such Section:

          "Purchaser did not base its determination of the terms of the Offer on
     any third-party appraisal or valuation.  Purchaser established the terms of
     the Offer  without any  arms-length  negotiation.  Purchaser  does not know
     whether the Per Security  Amount  reflects the value that would be realized
     upon a sale of the  Securities to another  party.  Security  holders may be
     able to obtain a higher  price for their  Securities  now or in the  future
     from another party."

Item 8.  Interest in Securities of the Subject Company.

     Item 8 of the Schedule TO is hereby amended and supplemented to include the
following information:

     The  third  sentence  of the  second  paragraph  on page 15 of the Offer to
Purchase is amended and restated to read in its entirety as follows:

          "Assuming the conversion of only the  Securities  that Mr. Simmons may
     be deemed to  beneficially  own, Mr. Simmons may be deemed to  beneficially
     own approximately 51.7% of the outstanding TIMET Shares."

     The table indicating beneficial ownership of TIMET Shares on page 15 of the
Offer to Purchase is amended and restated to read in its entirety as follows:



                                           Amount and Nature of    Percent of Class
"Name of Beneficial Owner                 Beneficial Ownership (1)      (1)(2)

                                                                   
Thomas E. Barry.......................           -0-  (3)                 -0-
Norman S. Edelcup.....................           -0-  (3)                 -0-
Edward J. Hardin......................           -0-  (3)                 -0-
Glenn R. Simmons......................         1,800  (3)(4)               *
Harold C. Simmons.....................     1,648,660  (3)(5)             51.7%
J. Walter Tucker, Jr..................           -0-  (3)                 -0-
Steven L. Watson......................         2,550  (3)(4)               *
William J. Lindquist..................           -0-  (3)                 -0-
Bobby D. O'Brien......................           -0-  (3)                 -0-
Gregory M. Swalwell...................           -0-  (3)                 -0-
J. Mark Hollingsworth.................           -0-  (3)                 -0-
Eugene K. Anderson....................           -0-  (3)                 -0-
A. Andrew R. Louis....................           -0-  (3)                 -0-
Kelly D. Luttmer......................            10  (3)                  *"


     Footnote 5 on page 16 of the Offer to Purchase  is amended and  restated to
read in its entirety as follows:

          "The TIMET  Shares  shown as  beneficially  owned by Harold C. Simmons
     include the 1,643,900 TIMET Shares in the aggregate  beneficially  owned by
     Tremont, the Master Trust, Contran and Purchaser. Mr. Simmons may be deemed
     the beneficial  owner of these shares.  See footnote 3 above.  In addition,
     the TIMET Shares shown as  beneficially  owned by Mr. Simmons include 4,760
     shares held by a trust,  for which Mr. Simmons and his wife are co-trustees
     and  the  beneficiaries  of  which  are  his  wife's   grandchildren   (the
     "Grandchildren's  Trust").  Mr. Simmons shares the power to vote and direct
     the  disposition  of the TIMET Shares the  Grandchildren's  Trust  directly
     holds.  The TIMET Shares shown as  beneficially  owned by Harold C. Simmons
     excludes  133,900  TIMET  Shares  issuable  to  Mr.  Simmon's  spouse  upon
     conversion of 1,000,000  Securities  that she directly owns. The percentage
     ownership  of TIMET Shares  attributable  to Mr.  Simmons  assumes the full
     conversion of only the Securities that Contran  directly holds. Mr. Simmons
     disclaims  beneficial  ownership  of any and all of  such  Securities  that
     Tremont,  the  Master  Trust,  Contran,   Purchaser,   his  spouse  or  the
     Grandchildren's Trust directly or indirectly holds."

Item 12. Material to Be Filed as Exhibits.

(a)(1)    Offer to Purchase dated May 5, 2003.*

(a)(2)    Form of Letter of Transmittal.*

(a)(3)    Form of Notice of Guaranteed Delivery.*

(a)(4)    Form of Letter to Brokers, Dealers,  Commercial Banks, Trust Companies
          and Other Nominees.*

(a)(5)    Form of Letter to  Clients  for use by  Brokers,  Dealers,  Commercial
          Banks, Trust Companies and Nominees.*

(a)(6)    Form of Guidelines for Certification of Taxpayer Identification Number
          on Substitute Form W-9.*

(a)(7)    Press Release issued by Purchaser on May 5, 2003.*

(b)       None.

(d)(1)    Intercorporate  Services  Agreement  between TIMET and NL  Industries,
          Inc.,  effective as of January 1, 2002  (incorporated  by reference to
          Exhibit 10.3 to NL Industries,  Inc.'s  Quarterly  Report on Form 10-Q
          for the quarter ended March 31, 2002).

(d)(2)    Intercorporate   Services   Agreement   between   TIMET  and   Tremont
          Corporation,   effective  as  of  January  1,  2002  (incorporated  by
          reference to Exhibit 10.2 to TIMET's Quarterly Report on Form 10-Q for
          the quarter ended March 31, 2002).

(d)(3)    Shareholders' Agreement, dated February 15, 1996, among TIMET, Tremont
          Corporation,  IMI  plc,  IMI  Kynoch  Ltd.,  and  IMI  Americas,  Inc.
          (incorporated  by  reference  to Exhibit 2.2 to Tremont  Corporation's
          Current  Report  on  Form  8-K  (File  No.  1-10126)  filed  with  the
          Securities and Exchange Commission on March 1, 1996).

(d)(4)    Amendment to the Shareholders' Agreement,  dated March 29, 1996, among
          TIMET, Tremont Corporation, IMI plc, IMI Kynoch Ltd. and IMI Americas,
          Inc.   (incorporated   by  reference  to  Exhibit   10.30  to  Tremont
          Corporation's  Annual  Report on Form 10-K (File No.  1-10126) for the
          year ended December 31, 1995).

(d)(5)    Amended and Restated  Declaration  of Trust of TIMET  Capital Trust I,
          dated as of November 20, 1996, among Titanium Metals  Corporation,  as
          Sponsor,  JP Morgan Chase Bank (f/k/a The Chase  Manhattan  Bank),  as
          Property Trustee, Chase Manhattan Bank (Delaware), as Delaware Trustee
          and Joseph S. Compofelice, Robert E. Musgraves and Mark A. Wallace, as
          Regular Trustees  (incorporated by reference to Exhibit 4.2 to TIMET's
          Current  Report on Form 8-K filed  with the  Securities  and  Exchange
          Commission on December 5, 1996.)

(d)(6)    Form  of 6 5/8%  Convertible  Preferred  Securities  (incorporated  by
          reference to Exhibit 4.4 to TIMET's  Current  Report on Form 8-K filed
          with the Securities and Exchange Commission on December 5, 1996).

(d)(7)    Convertible Preferred Securities  Guarantee,  dated as of November 20,
          1996, between TIMET, as Guarantor, and JP Morgan Chase Bank (f/k/a The
          Chase Manhattan Bank), as Guarantee Trustee (incorporated by reference
          to Exhibit  4.7 to TIMET's  Current  Report on Form 8-K filed with the
          Securities and Exchange Commission on December 5, 1996).

(d)(8)    Indenture for the 6 5/8% Convertible Subordinated Debentures, dated as
          of November  20, 1996 among TIMET and JP Morgan  Chase Bank (f/k/a The
          Chase  Manhattan  Bank),  as Trustee  (incorporated  by  reference  to
          Exhibit  4.3 to  TIMET's  Current  Report on Form 8-K  filed  with the
          Securities and Exchange Commission on December 5, 1996).

(g)       None.

(h)       None.

*    Incorporated  by  reference to the Schedule TO filed by Purchaser on May 5,
     2003.

Item 13. Information Required by Schedule 13E-3.

Not applicable.






     After due inquiry  and to the best of my  knowledge  and belief,  I certify
that the information set forth in this statement is true, complete and correct.

Dated:  May 16, 2003                          VALHI, INC.


                               By:      /s/ Steven L. Watson
                                        -----------------------------------
                                        Steven L. Watson
                                        President and Chief Executive Officer





                                  EXHIBIT INDEX

Exhibit No.

(a)(1)    Offer to Purchase dated May 5, 2003.*

(a)(2)    Form of Letter of Transmittal.*

(a)(3)    Form of Notice of Guaranteed Delivery.*

(a)(4)    Form of Letter to Brokers, Dealers,  Commercial Banks, Trust Companies
          and Other Nominees.*

(a)(5)    Form of Letter to  Clients  for use by  Brokers,  Dealers,  Commercial
          Banks, Trust Companies and Nominees.*

(a)(6)    Form of Guidelines for Certification of Taxpayer Identification Number
          on Substitute Form W-9.*

(a)(7)    Press Release issued by Purchaser on May 5, 2003.*

(b)       None.

(d)(1)    Intercorporate  Services  Agreement  between TIMET and NL  Industries,
          Inc.,  effective as of January 1, 2002  (incorporated  by reference to
          Exhibit 10.3 to NL Industries,  Inc.'s  Quarterly  Report on Form 10-Q
          for the quarter ended March 31, 2002).

(d)(2)    Intercorporate   Services   Agreement   between   TIMET  and   Tremont
          Corporation,   effective  as  of  January  1,  2002  (incorporated  by
          reference to Exhibit 10.2 to TIMET's Quarterly Report on Form 10-Q for
          the quarter ended March 31, 2002).

(d)(3)    Shareholders' Agreement, dated February 15, 1996, among TIMET, Tremont
          Corporation,  IMI  plc,  IMI  Kynoch  Ltd.,  and  IMI  Americas,  Inc.
          (incorporated  by  reference  to Exhibit 2.2 to Tremont  Corporation's
          Current  Report  on  Form  8-K  (File  No.  1-10126)  filed  with  the
          Securities and Exchange Commission on March 1, 1996).

(d)(4)    Amendment to the Shareholders' Agreement,  dated March 29, 1996, among
          TIMET, Tremont Corporation, IMI plc, IMI Kynoch Ltd. and IMI Americas,
          Inc.   (incorporated   by  reference  to  Exhibit   10.30  to  Tremont
          Corporation's  Annual  Report on Form 10-K (File No.  1-10126) for the
          year ended December 31, 1995).

(d)(5)    Amended and Restated  Declaration  of Trust of TIMET  Capital Trust I,
          dated as of November 20, 1996, among Titanium Metals  Corporation,  as
          Sponsor,  JP Morgan Chase Bank (f/k/a The Chase  Manhattan  Bank),  as
          Property Trustee, Chase Manhattan Bank (Delaware), as Delaware Trustee
          and Joseph S. Compofelice, Robert E. Musgraves and Mark A. Wallace, as
          Regular Trustees  (incorporated by reference to Exhibit 4.2 to TIMET's
          Current  Report on Form 8-K filed  with the  Securities  and  Exchange
          Commission on December 5, 1996.)

(d)(6)    Form  of 6 5/8%  Convertible  Preferred  Securities  (incorporated  by
          reference to Exhibit 4.4 to TIMET's  Current  Report on Form 8-K filed
          with the Securities and Exchange Commission on December 5, 1996).

(d)(7)    Convertible Preferred Securities  Guarantee,  dated as of November 20,
          1996, between TIMET, as Guarantor, and JP Morgan Chase Bank (f/k/a The
          Chase Manhattan Bank), as Guarantee Trustee (incorporated by reference
          to Exhibit  4.7 to TIMET's  Current  Report on Form 8-K filed with the
          Securities and Exchange Commission on December 5, 1996).

(d)(8)    Indenture for the 6 5/8% Convertible Subordinated Debentures, dated as
          of November  20, 1996 among TIMET and JP Morgan  Chase Bank (f/k/a The
          Chase  Manhattan  Bank),  as Trustee  (incorporated  by  reference  to
          Exhibit  4.3 to  TIMET's  Current  Report on Form 8-K  filed  with the
          Securities and Exchange Commission on December 5, 1996).

(g)       None.

(h)       None.


     * Incorporated by reference to the Schedule TO filed by Purchaser on May 5,
2003.