EXHIBIT 32.1

                                906 Certification





                                                                    Exhibit 32.1

                            CERTIFICATION PURSUANT TO
                             18 U.S.C. SECTION 1350,
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the annual report of Phase III Medical, Inc. (the "Company")
on Form 10-K for the year ended December 31, 2003 filed with the Securities and
Exchange Commission (the "Report"), I, Mark Weinreb, Chief Executive Officer of
the Company, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to
Section 906 of the Sarbanes-Oxley Act of 2002, that:

(1) The Report fully complies with the requirements of Section 13(a) of the
Securities Exchange Act of 1934; and

(2) The information contained in the Report fairly presents, in all material
respects, the financial condition of the Company as of the dates presented and
results of operations of the Company for the periods presented.

Dated: March 30, 2004

                                              /s/ Mark Weinreb
                                              Mark Weinreb
                                              Chief Executive Officer


This certification has been furnished solely pursuant to Section 906 of the
Sarbanes-Oxley Act of 2002.