HR Case SLA on HR Service Transfer

Dear Community Members,

Looking for some inputs to set SLA definitions as per below requirements:

Whenever an HR case is transferred to new HR service, the existing case gets cancelled and new case with new HR service is created, along with that, SLA also gets cancelled in existing case and new case will have its own new SLA. We want to bring all the old SLA definition records (even if cancelled) to the new HR case SLA section.

Is there any way, we can bring cancelled case's SLA definitions to the transferred case?

Please share how this can be achieved.