What you could do is create an endpoint on your APIM that connects to the Azure Logic Apps REST API (link). This needs the following data which can be found in the accompanied response headers of the Logic App when called:
- Workflow Name = x-ms-workflow-name
- Run Name = x-ms-workflow-run-id
Only thing you need, next to above two headers, for calling the rest api, is the Resource Group and Subscription ID. These parameters can be filled using:
- The logic responsible for polling the Logic App
- Named values from the APIM (where possible)
Please let me know if this helps, and if I can assist you further.