United and the Star Alliance are offering the cheapest flights to Mumbai “Bombay”, India (BOM) for $725 round-trip with either one or two layovers. 7-day advance purchase. Ticket on/before Oct 20. Flights through NOV 27. Best availability for MON-WED flights.
Almost every carrier has a “cheap” flight to India. If it’s not on sale with United, then Delta, KLM, Air France or British/American will have it on sale.