I 've got another question, there must be a procedure through the FAA to get an approval based on a foreign licence and my experience to etablish an specific syllabus with a designed examiner or an FAA inspector, like in UK ...
In the United States all 737 simulator centers will be contolled by FAR part 142 which tends to be the problem. FAR 142 makes it so the center must have approval from the FAA for each type of course that they intend to teach. Therefore the training centers only have approval for long courses or, in some cases, short courses. They will not specifically tailor a course for you as it would be cost prohibitive. Also, you must complete an approved course before you will be given a type ride.
You would probably qualify for a short course. The good news is that 737 courses are very affordable due to the high demand for this type rating. Typically you can do a full course for about $7000.00 plus accomodation, meals, etc. Although that might be on a 737-200 or 737-300. You may want to look into the 737-300/400 courses as the U.S. type rating doesn't differentiate between models. All it will ever say on your FAA certificate is B737 regardless of which simulator you take the type ride in. In the United States that type rating will be good for all models.
Some of the training centers you may want to look at include Higher Power Aviation, Aeroservices in Miami, Alteon ( formerly Flight Safety Boeing ), and K&S Aviation. There is a lot of information on 737 type ratings on the
http://forums.flightinfo.com bulletin board.
Good Luck,
Typhoonpilot