My brother has gone to both the US as well as the UK during his MBBS at AIIMS Delhi. The caveat is that the trips are expensive, as expected. So either you can spend it on your own or get a sponsorship from the ICMR research grant.
To get ICMR research funding you need to do some good research on your field and then convince ICMR through some conferences regarding why you need to secure some funding for the project. If they get convinced of the same and your request is approved, you do not need to spend a penny for your trip.