After some analyse, my idea is to try to develop the customisation as it is suggest by one of you in the case.
If it's a success in some weeks, I will give to you an input.
Thank you for all of you about your support.
I havent tried this but its worth a try.
Updated the 'Display Name' business constant on the EPMTask/EPMJob in BMIDE to include Root Task Template name.
This usually works for all business objects.