India still need 320 more runs with two full day's play remaining to take a 1-0 lead in the two-match series.
Brief Scores:
New Zealand: 503 and 105 all out in 41.2 overs (Ross Taylor 41; Mohammed Shami 3/37, Ishant Sharma 3/28).
India: 202 and 87 for one in 25 overs (Shikhar Dhawan 49 not out, Cheteshwar Pujara 22 not out; Tim Southee 1/18).