Any ICAO Member nation (India, Singapore, etc) with an Unrestricted PPL may obtain an FAA Validation (an FAA Private Pilot certificate based on a foreign license) by starting the process from your home country approximately 90 days in advance.
When you complete that FAA paperwork, you will need to specify an FAA Flight Standards District Office (FSDO) in a city that you will visit in the next 6 to 9 months to collect the Temporary certification with the Permanent being mailed to you from FAA in Oklahoma City latter.
The in-person meeting with an FSDO Inspector, due to events of 9-11, with your pre-approved FAA Validation request, foreign license + foreign medical (not FAA) + foreign radio permit + Passport showing legal entry into the USA (tourist visa okay). At this time the FAA does not charge a fee for this service but it is expensive to have to make a visit to the USA.
Start the process, as follows:
Airmen Certification ? Verify the Authenticity of a Foreign License, Rating, or Medical Certification
Good luck!