Marek,
you can even provide Training in your students Aircraft. This worked in some Countrys in Europe as well, before EASA/JAA...
If you have a EASA CPL/IR at least, you dont Need a Training course.
In 2010 it went like this:
You Need your EASA Licence "Authentificated".- Than you make a Date with your choosen Fisdo ( They check into your licence, if you have the Minimum hrs/Training required. The FAA recognizes all ICAO compiant Training) - After this you do your 80 Question ATP written Exam - Passing your Written, you look for an Examiner and take your Checkride.( and be Aware the ORAL Exam is the one to fear, be prepared)
As far as i know there has been a Change recently, so that Foreign Pilots transfering there Licence Need a 10hrs Course for test preparation, but i dont remember the exact wording.