EXHIBIT 32.1

                                  CERTIFICATION

      Pursuant to Section 906 of the Public Company Accounting Reform and
Investor Protection Act of 2002 (18 U.S.C.Section 1350, as adopted), Emile
Loria, M.D., the Chief Executive Officer of Epimmune Inc. (the "Company"), and
Robert De Vaere, the Chief Financial Officer of the Company, each hereby
certifies that, to the best of his knowledge: 1. The Company's Annual Report on
Form 10-K for the fiscal year ended December 31, 2003, to which this
Certification is attached as Exhibit 32.1 (the "Annual Report"), fully complies
with the requirements of Section 13(a) or Section 15(d) of the Securities
Exchange Act of 1934, as amended; and 2. The information contained in the Annual
Report fairly presents, in all material respects, the financial condition of the
Company at the end of the period covered by the Annual Report and results of
operations of the Company for the period covered by the Annual Report.

Dated:      March 30, 2004

/s/ Emile Loria                           /s/ Robert De Vaere
- ------------------------------            ------------------------------------
Emile Loria, M.D.                         Robert De Vaere
President and Chief Executive Officer     Vice President, Finance and
                                          Administration and Chief Financial
                                          Officer