India, who began the day at overnight score of 130 for four, trail the hosts by 301 runs.
New Zealand decided against enforcing the follow-on on the Indian team.
Brief Scores:
New Zealand 1st innings: 503 all out
India 1st innings: 202 all out in 60 overs. (Rohit Sharma 72, Ravindra Jadeja 30 not out; Neil Wagner 4/64, Trent Boult 3/38, Tim Southee 3/38).