OIF can I have 2 names for my OIF IdP?

Hi experts,

I have a simple scenario: OIF with several SPs working. But it came a new SP to integrate and this is the problem: this SP has an inner limitation that needs that the IdP he connects to have a name like 'http://url' (weird..). Actually our IdP entity name is something like oifidp, so at the moment it can not integrate with this SP.

So I see 2 scenarios, 1) change IdP name and reconfigure all SPs or 2) discard this SP or setup an isolated OAM only for it..

So I am asking you if you know some way I can configure the IdP name for each SP, perhaps with wlst, for example I remember I grouped SPs to create SP Partners Profiles and assing distinct parameters to each profile of SPs (like authentication scheme).