Kohli's side overcame a stubborn fightback from Australia's lower order, including Nathan Lyon (38no), to triumph by 31 runs in Adelaide, their first Test success in the country since January 2008 in Perth.
India once again appear on the list of matches with most catches taken, the Test against Australia at Perth in 1991-1992 series had 33 catches taken.
To most, Shaun Marsh is the most maligned Australian cricketer. They have a red-hot crack [at] every ball and that's what we're building to.
The visitors won a tightly-contested opening Test in Adelaide by 31 runs on the fifth day after setting Australia a target of 323, which would have been a record run chase at the ground.
"We can't be happy with just one Test match".
"Pujara and Rahane particularly showed that (stepped up with the bat) for us in both the innings and collectively we were the better team and we deserved to win".
He could have had the record to himself but dropped Pat Cummins off Bumrah.
We're used to Australia scoring at a rate of knots, of run rates in excess of four runs an over and days where the men wearing baggy greens made 300 plus daily. They're some of our more experienced players, I think the more they do that, the more it will rub off on the rest of this group.
Australian skipper Tim Paine says his side faced a balancing act in the quest to reconnect with the cricket community. That's the style of cricket we want to play.
Head was the first to go, with Ishant Sharma (1-48) bowling a sharp bouncer that followed the batsman and left him no room.
Australia's limited overs gloveman Alex Carey is coming off the back of two unbeaten scores in the Redbacks' Sheffield Shield draw with New South Wales, including 110 in the first innings. "I don't know about the Indians, we didn't pay attention to them and we won't be for the whole series. It's always exciting when you have an 18-year-old  kid who has come up the ranks, who has got runs in all formats for the game when he's played back home", he added. In that sense, at least, Lyon and Hazlewood's ultimately failed effort on the final afternoon may prove more useful to the final outcome than they think right now. That match will also be remembered for the infamous ball-tampering incident. It brought Nathan Lyon to the crease and he got the pulses racing with a quick 38 to set up a tense finale, before Hazlewood departed to end the match.
Four years ago Cheteshwar Pujara arrived in Australia with an average of 50.08, putting him among the game's elite of the time.
But the captaincy is the real vacancy and if someone else is required to take the reins they face an uphill battle to get Australia back in to the series.
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