There is a much simpler way. I am an EASA flight instructor, and FAA flight instructor. I have a connection with a club near Barcelona, and you can be given instruction that satisfies both EASA and FAA requirements. You will get your EASA PPL, and if you wanted to get an FAA PPL after that, there is a procedure. You would need to book an appointment with the FAA, and appear in person for interview, also with some paperwork from the authority that issued you with the licence.
I don't want to be accused of advertising for a particular school, so if you want to pm me, I will be happy to give more details.