Australia have brought back Warner and Pucovski, who were recovering from a groin injury and concussion respectively, to the squad while dropping struggling opener Joe Burns for the remaining two Tests.
Rohit had sustained a hamstring injury during the IPL, which led to him missing the white-ball leg and the first two Tests of the ongoing tour.
India currently find themselves in a commanding position, having defeated Australia in a comprehensive manner at the MCG.
Stepping into the shoes of regular skipper Virat Kohli, Rahane showed great character to inspire India to a memorable win at the MCG.
Ponting conceded that star batsman Steve Smith is struggling and he needs to get back to form if Australia have to stay afloat in the series.
Rohit flew down to Australia in December, days before the start of the four-Test series.
Australia coach Justin Langer had said prior to the second Test that Warner was batting well but had trouble running between the wickets.
Recent Covid-19 outbreak in Sydney had put the fate of the third Test at the SCG in jeopardy.
Stand-in skipper Ajinkya Rahane was also in awe of Gill's batting display against the Australian bowling set-up.
Tim Paine pleaded guilty to the offence and accepted the proposed sanction which was imposed by match referee David Boon.
Australia opening batsman Matthew Wade too had called for consistency and felt that Paine was wronged.
Bumrah, who picked 21 wickets during India's previous tour of Australia in 2018-19, led the pace attack well in the second innings of the second Test even as Umesh Yadav limped off the field during the third day's play.
Paine also credited the India bowlers saying they have been extremely disciplined and are executing the plans better than the Aussie batsmen have been.
India vs Australia 2nd Test, Day 4: Indian chased the target of 70 runs for the loss of two wickets to level the four-match series 1-1
India vs Australia 2nd Test Day 4: Find full details on when and where to watch IND vs AUS Boxing Day Test Live Online on SonyLIV and TV Telecast on Sony SIX and Sony TEN.
India got a foot in the door of the second Test after they reduced Australia to 133 for six wickets in their second innings at the end of the third day's play in the second Test at the MCG. The Aussies are ahead of India by just two runs.
Wade is opening the batting for Australia alongside Joe Burns and in place of the injured David Warner.
Former Australia pace bowler Merv Hughes also raised questions over the umpire's decision.
Paying credit to Bumrah for helping him get through his Test debut, Siraj said the presence of a senior is always helpful.
HIGHLIGHTS India vs Australia 2nd Test, Day 3: Bowlers helped India to inch closer to a win at the MCG after taking a first-innings lead of 131 runs.
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