West Indies were all out for 248 in reply to Indias first innings total of 518-5 declared, conceding a lead of 270 on day three of the second and final test on Sunday.
Alick Athanaze 41, Shai Hope 36 and Tagenarine Chanderpaul 34 got starts but could not convert them into big knocks.
Spinners Kuldeep Yadav claimed 5-82 while Ravindra Jadeja 3-46 also impressed with the ball for India, who are chasing a 2-0 series sweep.
