There is no conversion from FAA to JAA for low time pilots. If you are looking to aquire a JAA ATPL(frozen), do not be tempted to do an FAA course and hope to convert. More importantly do not be fooled by a major FAA provider offering a JAA ATPL "PREP" course. It is a com (oops I mean con). In order to sit the JAA exams you must have trained at a JAA approved school on a structured course of training, wether this be a residential or distance learning course.
If you are on one of these courses, that is an FAA course hoping to convert YOU HAVE BEEN CONNED and it will cost you just as much to get your JAA licence.