BIK - sorry to have picked up on this one so late.
The US Code of Federal Regulations you seek (
28 CFR Part 105 ) is most easily found at the
FAA International Website. Title 28 deals with Judicial Administration (Title 14 incidently is all the FARs and all things FAA) and all these new restrictions have come out of the Department of Justice not the Federal Aviation Administration. Part 105.09 to 105.12 (Interim Final Rule wef 14 JUN 02) deals with the "Screening of aliens and other designated individuals seeking flight training" for, what is effectively interpreted as,
professional pilots. If you are not a
professional pilot (no 5700kg type rating, not Government, not Military) then you will fall under Section 13 (& 14) which at this stage are only Proposed Rules, but are published at the end of the above document for public comment so you can get an idea of what you're in for. Date of implementation ... who knows ... no earlier than mid-August, more likely next year - has to pass through US Congress.
PS. I should clarify - this is all for training in a/c 12500lbs (5700kg) or greater - NOT below. There is nothing for "lighties" that I am aware of ... yet ...
This appears to be having some pretty significant repercussions at the moment - just became aware of a large group of pilots (90 odd) twiddling their thumbs in Seattle because Boeing (FSI?) cannot proceed on their type training. Presumeably these guys are awaiting clearances which can take up to 30 days, or for 45 days to elapse to commence training anyway. 25 simulators in the building - only one or so flying at any given time ...
Ouch! 
What about the rest of the country...