N-CSR Item 10 - Exhibits: Certifications EX-99.906CERT

                            SECTION 906 CERTIFICATION

Pursuant to 18 U.S.C.ss.  1350, the undersigned officers of Federated Core Trust
II,  L.P.  on  behalf  of  Emerging   Markets   Fixed   Income  Core  Fund  (the
"Registrant"),   hereby  certify,  to  the  best  of  our  knowledge,  that  the
Registrant's  Report on Form N-CSR for the period ended  5/31/03 (the  "Report")
fully complies with the  requirements  of Section 13(a) or 15(d), as applicable,
of the Securities and Exchange Act of 1934 and that the information contained in
the Report fairly presents,  in all material respects,  the financial  condition
and results of operations of the Registrant.


Dated: July 28, 2003

/s/ J. Christopher Donahue

Title: President, Principal Executive Officer



Dated: July 28, 2003

/s/ Richard J. Thomas

Title: Treasurer, Principal Financial Officer

This  certification is being furnished solely pursuant to 18 U.S.C.ss.  1350 and
is not being filed as part of the Report or as a separate disclosure document.