I don't know if I understood your question. You'd like to know a way to track a process within PAM that was started by a request in Service Catalog.
I think is the same problem that We had on a customer. It's not easy to find, at PAM operations tab, a process started by a request. That information normally is inside the process on a Dataset, so you need to open each process to try find the desired one.
One thing that We did was to change the name of the process, at runtime, to add the requestId that started the process as prefix. This way We could easily find a process related to a determined request at Catalog.