U A M,
I'm not an expert, but I don't think your correct with regards to "..unless an aircraft is OPERATED outside the EU..". I believe the requirement is that the OPERATOR is based outside the EU/EASA countries. In other words; a N reg, or any other non-EASA reg, aircraft can be operated on the respective states (in your case the FAA ticket) national license within the EU, provided that the operators head office/domicile is NOT in the EU. Again, I'm not an expert, but you may want to try and have this confirmed and perhaps what you are looking for, to get a job within the EU (on your FAA ticket), but with an operator that does not have it's domicile in the EU. Hope this helps somewhat.