Does the company do business in the U.S.? Back to Civil Procedure class, my friend.
The rules of civil procedure apply to civil cases. As I recall, the rules of venue specify that civil actions much be initiated in the same venue as the defendant. Which might be just the least bit problematic for one located in India.
And then we have to remember that the really big teeth are available through criminal prosecution. I wonder (even more) how one proposes to file criminal charges against an outsourcing company in New Delhi.