EXHIBIT 32.1

CERTIFICATION BY THE CHIEF EXECUTIVE OFFICER AND CHIEF FINANCIAL OFFICER
RELATING TO A PERIODIC REPORT CONTAINING FINANCIAL STATEMENTS


         I, Jeffrey L. Radke, Chief Executive Officer, and John M. Modin, Chief
Financial Officer, of PXRE Group Ltd., a Bermuda corporation (the "Company"),
hereby certify that, based on our knowledge:

         (1) The Company's periodic report containing financial statements on
Form 10-Q for the period ended June 30, 2004 (the "Form 10-Q") fully complies
with the requirements of Section 13(a) of the Securities Exchange Act of 1934,
as amended; and

         (2) The information contained in the Form 10-Q fairly presents, in all
material respects, the financial condition and results of operations of the
Company.


                                      * * *


Date: As of August 5, 2004


CHIEF EXECUTIVE OFFICER:                      CHIEF FINANCIAL OFFICER:


/s/ Jeffrey L. Radke                          /s/ John M. Modin
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Jeffrey L. Radke                              John M. Modin