Combine ATP Conversion with type rating recurrent training

[avinstructor]

For those that have converted their Canadian ATPL to the FAA ATP do you know if it is possible to combine the ATP conversion requirements and recurrent type rating requirements into one training event? The end goal would be to walk away with a renewed PPC as well as the FAA ATP requirements completed (yes I know there is more to the conversion than just the ATP course) and have the type rating be valid on both the Canadian ATPL as well as the new FAA ATP.

I suspect I know the answer, but I don’t want to make any assumptions.

Thanks in advance.