Currently, it seems impossible to configure Process Integration between WebSphere Portal 6.1.5 and Process Server 7 when this portal is running on WebSphere 7 (7.0.0.7)
The remote client for Process Server 7 does not run on portal 6.1
source :
The remote client for Process Server 6.2 does not install on WebSphere 7 (I tried, it doesn't work)
The WebSphere Process Server Client 6.2.0 can be installed on WebSphere Application Server 6.1 and supported on the same set of platforms supported by WebSphere Process Server 6.2.0. Customer applications using or based on the WebSphere Process Server Client 6.0.2, 6.1 or 6.1.2 and higher will work against WebSphere Process Server 6.2.0
Remote client for Process Server 6.2 requires WAS 6.1 with webservices feature pack.
Overview of the available feature packs: