The Black Caps are chasing just 107 on the final day to beat India in the first cricket Test in Bengaluru.
The visitors bowled India out for 462 on day four before bad light stopped play four balls into the chase despite the pleas of the India fielders to carry on.
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The Black Caps bowlers took wickets late on day four with Matt Henry taking three for 102 and Will O'Rourke three for 92.
The seam bowling pair took 15 of the 20 Indian wickets to fall in the test.
Tom Latham and Devon Conway were both yet to score in New Zealand's second innings when bad light stopped play.
The Black Caps have won only two tests in India, the last being in 1988 with John Wright the captain and the previous time in 1969.
Sarfaraz Khan made 150 and Rishabh Pant 99 for India as they look to pull off one of the most famous victories in cricket after being dismissed for just 46 in their first innings.
They took India into the lead with just three second-innings wickets down but the hosts lost 7-54 with the second new ball to set New Zealand 107 to win.
After the first day was washed out, India's first innings 46 on day two was the third-lowest total in their Test history and lowest at home.