Sim Check
Welle, when you do your sim check there is a requirement to do the FAA bit at US airports and the JAA now require you to do their check at European airports.......so usually you do about 90 mins for the FAA ride and then another 45 mins or so to validate your JAA licence.
Cannot remember where to find the FAA ATP questions but someone on here (or Google!) will tell you. You then self study the entire question bank (approx. 1100 Qs, because you can disregard about 300 Part 125 Qs) and can then sit the exam at your nearest FSDO.