Adelaide, Dec 10: R Ashwin took the last wicket as India beat Australia by 31 runs at the Adelaide Oval to take a 1-0 lead in the four-match Test series on Monday.
Rishabh Pant finished with 11 catches, and equaled the record for most dismissals in a Test by a wicketkeeper, sharing it with England's Jack Russell and South Africa's AB de Villiers.
Chasing 323, the hosts have bowled out for 291 in 119.5 overs shortly before tea on day five with Ravichandran Ashwin, Jasprit Bumrah and Mohammed Shami taking three wickets each for a 1-0 lead in the four-match series.
"It's important to stay calm. The odds were stacked up against them as soon as we got Pat Cummins out. I wouldn't say I was cool as ice but you try not to show it," Kohli said at the end of the match.
First, Mitchell Starc (28) and Pat Cummins (28) put on 41 runs for the eighth wicket and carried Australia past 200 in the 89th over.
Post lunch, India had a big early breakthrough when Australian skipper Tim Paine (41) played an uncharacteristic pull shot off Bumrah and only managed to loop it up for Pant to take an easy catch.
In the morning session, India removed Travis Head (14) and Shaun Marsh (60) as Australia reached 186 for six at lunch.
Starting from overnight 104 for four, the Head-Marsh partnership lasted only 7.4 overs before India forced a breakthrough with the old Kookaburra ball.
India scored 250 in their first innings with Cheteshwar Pujara anchoring with his 16th Test century.
Australia replied with 235 and conceded a 15-run lead. The visitors then finished at 307 in their second innings, including a collapse of five for 25, and set a competitive target on day four.