FORM 4 Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940

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1. Name and Address of Reporting Person * Elghandour Rami   2. Issuer Name and Ticker or Trading Symbol NEVRO CORP [NVRO] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) President (Last) (First) (Middle) C/O NEVRO CORP., 1800 BRIDGE PARKWAY 3. Date of Earliest Transaction (Month/Day/Year) 05/12/2016 (Street) REDWOOD CITY, CA 94065 4. If Amendment, Date Original Filed(Month/Day/Year) 6. Individual or Joint/Group Filing(Check Applicable Line) _X_ Form filed by One Reporting Person ___ Form filed by More than One Reporting Person (City) (State) (Zip) Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned

1.Title of Security (Instr. 3) 2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code (Instr. 8) 4. Securities Acquired (A) or Disposed of (D) (Instr. 3, 4 and 5) 5. Amount of Securities Beneficially Owned Following Reported Transaction(s) (Instr. 3 and 4) 6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4) 7. Nature of Indirect Beneficial Ownership (Instr. 4) Code V Amount (A) or (D) Price Common Stock 05/12/2016   M   3,844 A $ 3.6 68,024 (1) D   Common Stock 05/12/2016   M   3,156 A $ 3.6 71,180 (1) D   Common Stock 05/12/2016   S(2)   1,649 D $ 63.055 (3) 69,531 (1) D   Common Stock 05/12/2016   S(2)   5,051 D $ 64.1474 (4) 64,480 (1) D   Common Stock 05/12/2016   S(2)   300 D $ 65.1333 (5) 64,180 (1) D

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Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)

1. Title of Derivative Security (Instr. 3)

2. Conversion or Exercise Price of Derivative Security

3. Transaction Date (Month/Day/Year)

3A. Deemed Execution Date, if any (Month/Day/Year)

4. Transaction Code (Instr. 8)

5. Number of Derivative Securities Acquired (A) or Disposed of (D) (Instr. 3, 4, and 5)

6. Date Exercisable and Expiration Date (Month/Day/Year)

7. Title and Amount of Underlying Securities (Instr. 3 and 4)

8. Price of Derivative Security (Instr. 5)

9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s) (Instr. 4)

10. Ownership Form of Derivative Security: Direct (D) or Indirect (I) (Instr. 4)

11. Nature of Indirect Beneficial Ownership (Instr. 4)

Code

V

(A)

(D)

Date Exercisable

Expiration Date

Title

Amount or Number of Shares

Stock Option (right to buy)

$ 3.6

05/12/2016

M

3,844

(6)

12/17/2022

Common Stock

3,844

$ 0

119,546

D

Stock Option (right to buy)

$ 3.6

05/12/2016

M

3,156

(7)

05/14/2023

Common Stock

3,156

$ 0

85,051

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
Elghandour Rami C/O NEVRO CORP. 1800 BRIDGE PARKWAY REDWOOD CITY, CA 94065			President

Signatures

/s/ Andrew Galligan, as Attorney-in-Fact for Rami Elghandour		05/16/2016
**Signature of Reporting Person		Date

Explanation of Responses:

*	If the form is filed by more than one reporting person, see Instruction 4(b)(v).
**	Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1)	Includes 63,695 RSUs.
(2)	The sale was effected pursuant to the Reporting Person's Rule 10b5-1 trading plan.
(3)	The price reported in Column 4 is a weighted average sale price. These shares were sold in multiple transactions at prices ranging from $62.65 to $63.45, inclusive. The Reporting Person hereby undertakes to provide to the Securities and Exchange Commission staff, the Issuer, or a security holder of the Issuer, upon request, full information regarding the number of shares sold at each respective price within the range set forth in this footnote.
(4)	The price reported in Column 4 is a weighted average sale price. These shares were sold in multiple transactions at prices ranging from $63.75 to $64.74, inclusive. The Reporting Person hereby undertakes to provide to the Securities and Exchange Commission staff, the Issuer, or a security holder of the Issuer, upon request, full information regarding the number of shares sold at each respective price within the range set forth in this footnote.
(5)	The price reported in Column 4 is a weighted average sale price. These shares were sold in multiple transactions at prices ranging from $64.82 to $65.76, inclusive. The Reporting Person hereby undertakes to provide to the Securities and Exchange Commission staff, the Issuer, or a security holder of the Issuer, upon request, full information regarding the number of shares sold at each respective price within the range set forth in this footnote.
(6)	The option, representing the right to purchase 137,875 shares of the issuer's common stock, vests and becomes exercisable in respect to 25% of the original number of shares subject to the option on the first anniversary measured from November 1, 2012 (the "Vesting Commencement Date"), and 1/48th of the total number of shares vest and become exercisable in thirty-six (36) successive and equal monthly installments thereafter, such that 100% of the shares underlying to the option will be fully vested and exercisable on the fourth anniversary of the Vesting Commencement Date, subject to the Reporting Person's continued service to the issuer.
(7)	The option, representing the right to purchase 88,207 shares of the issuer's common stock, vests and becomes exercisable in respect to 1/48th of the original number of shares subject to the option on each monthly anniversary measured from May 15, 2013 (the "Vesting Commencement Date"), such that 100% of the shares underlying the option will be fully vested and exercisable on the fourth anniversary of the Vesting Commencement Date, subject to the Reporting Person's continued service to the issuer.

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