There are very less colleges for International Business. In fact Some IIM's also doesn't provide this course.

The only college which comes in my mind is, (IIFT) Indian Institute of foreign trade. This college is renowned for it's International Business Course only. They conduct their own Entrance too (IIFT).

Some other colleges are: Symbiosis Pune

ISB Hyderabad

Aanamallai

Narsee Moonjee, Mumbai.

All the best!!!