Former Australia batsman Simon Katich said Australian batsmen did not apply themselves after getting starts in the just concluded Test series, that led to their downfall.
The series is even more important for Kohli as it would also define his legacy as a leader having already established himself as world's premier batsman.
India came within sniffing distance of a defining victory before a stoic resistance by Australia's tail delayed the inevitable in the third Test in Melbourne on Saturday.
Pujara was the dominant figure with his second century of the series, a dogged but faultless 106 off 319 balls
Pacer Mitchell Starc has expressed disappointment with International Cricket Council rating the Optus Stadium pitch as 'average' after Australia beat India in the second Test by 146 runs.
Captain Virat Kohli became the second fastest to 25 Test centuries before Usman Khawaja helped Australia extend their lead to 175 runs to give the hosts a slight upperhand at stumps on Day 3 in Perth on Sunday.
India put together their second highest team total on Australian soil, piling up 622/7 declared on the second day of the match. Their highest team total, 705/7 declared, was also incidentally scored at this venue, in 2004.
The mood in the Indian camp was summed up best by the skipper after a green pitch was unveiled on eve of the maiden Test at the new facility.
'I see it as neck-and-neck in the game. Whoever can get momentum from hereon has the edge in this Test. I think it is extremely well poised'
Travis Head (61 batting) and Pat Cummins (10) kept Australia in the game with a 50-run partnership in the last session but India walked away with the advantage after the latter fell towards the end of day's play.
It is a rare first Down Under for India since Lala Amarnath's side visited the country back in 1947-48 months after independence to face Sir Don Bradman's 'Invincibles'.
How do India and Australia's teams stack up? Rajneesh Gupta presents all the numbers.
IPL Action VIII: These players went unsold