Simple fact is you are bi licensed. Therefore if you can legally log it in the country of issue of your license - stick it in the log book under P1. Let the CAA find out about if themselves and query it if they want to.
If you want a little defense in depth, ask the instructor to sign the entries next time you are over there - sounds like he's willing to.CAA can't moan then
American Airlines Captain has 747 on his FAA ATPL (ATP) wants to apply for a CAA PPL do his 747 hours not count ???