West Indies A bowled out India A for 245 runs and then scored 130/3 to take a 314-run lead over the hosts after the end of Day 3 of the first unofficial Test being played between the two sides at Mysore.
For West Indies A, Veerasammy Permaul took five wickets while Nikita Miller took four.
Manprit Juneja top scored for India A with 84 runs off 151 balls.
Kieran Powell scored 68 runs to lead West Indies A to a comfortable lead with one day remaining to play.
Parvez Rasool again took two wickets for the hosts taking his match tally to seven.