A quick note about what airlines are doing if you have a flight scheduled to Mumbai:
US carriers have resumed flights to Mumbai, but all are offering to re-accomodate if you have a flight in the next week or so.
Continental: If you have travel between now and December 2nd, you can change the flight to depart any date before December 9th without incurring a fee.
Delta: If you have travel scheduled between now and December 3rd, you can change the flight to depart by December 10th as long as you re-book by December 3rd.
American: If you have travel scheduled between now and December 4th, you can change you flight to depart any time before December 4th without a fee.
British Airways: If you have a flight before December 3rd, you can rebook to a different city in India or change your flight date (they don’t have a restriction on when you can change the date of the ticket).
Air India: You can change the date of travel to Mumbai without penalty.
Interesting that US carriers have such tight restrictions, but if their restrictions don’t meet your needs, I would certainly speak with a supervisor to see if they can be a bit flexible with your flight dates or cities (even if that means putting you on a partner airline).