US Department of Justice
US DOJ has changed rules again a few weeks ago... I suggest you contact schools that are used to train foreign students for info regarding the new requirments.
I am not sure about obtaining initial type rating, but getting recurrent has got a lot easier and friendlier than it was 2 months ago. I have been told that adding new ratings to my licence is not a problem either.
Instead of the old 45 days, you can approval from DOJ in 3 working days ( provided that you are not associated with nasty people ).