Brussels Airlines has a great offer from Athens to Mumbai for $722 RT in Business Class on their excellent A330 Business Class – $700 is a normal Economy Class fare for this route.
I was able to pull up the fares on ITA Matrix (only certain dates are available).
I then used those dates on the Brussels Airlines website.
The fare should earn 200% on United Mileage Plus and several other Star Alliance programs. Visas for India are available as one time eVisa for ~$70 and the 10 year India visa is just $140 (US passports only).