Best way is to do the 3rd Country type rating insertion which is a valid EASA Part.FCL option.
Most CAA's are swamped with (paper)work at the moment and they don't like it, but it cannot be refused.
If you are current on the type on your ICAO licence you will only require a Licence Skill Test without any ATO certificate.
If you not current you might need extra training, with the 2020 update of Part.FCL the ATO will decide if and how many extra training you will need, some times you can do with no training.
Also if you don't have a PBN endorsement then that will have to be added as well, as it is necessary for the IR on your ATPL.
Google for Vector Global Aviation or sent me a PM for the details, these guys are specialised in 3rd country insertions and are not charging you an arm and a leg