Hanuma Vihari scored his maiden Test hundred in the second day at the Sabina Park helping India to post 416.
Running only a year in Test cricket, Bumrah established himself as one of the best fast bowlers in world cricket.
ICC penalized Navdeep Saini was for making an unwanted gestures of animated sending off to West Indies batsman Nicholas Pooran.
India have became the second side to register 50 away wins in T20 internationals, after Pakistan.
The India tour of West Indies in August is likely to have most of the key players including Virat Kohli.