Tendulkar, who was in Sydney for a charity match last week, had called Labuschagne special when asked to name the player who most reminds him of himself.
Steve Smith said the decision to drop Nathan Lyonwas taken to strengthen the pace-bowling department.
Opening partner Usman Khawaja (62) completed 1000 runs for the calendar year and was looking in great touch before West Indies struck back with two quick wickets after the lunch break.
Chasing a world record 435 runs to win, England were reduced to 207 for six at stumps on Day 4 of the third Test, still 228 runs short of victory
In a video, Labuschagne is getting throwdowns from his friend in his backyard, even as his dog seemed to be waiting in anticipation behind the stumps.
Bavuma said his hamstring was 'feeling good' ahead of his return, and the South African skipper also confirmed he would bat at number three for the opening match of the three-game series behind openers Ryan Rickelton and Aiden Markram.
IMAGES from Day 2 of the 1st Ashes Test in Perth on Saturday.
Steve Smith was on 59 unbeaten with Labuschagne at the close.
Labuschagne, known for his ability to score runs, especially against India, reminisced about the first time he saw Kohli don India's Test colours in the 2018 series.
Usman Khawaja said he hoped his long Test career, which will come to an end with his retirement after the fifth Ashes clash, inspires youngsters who are "different" that playing cricket for Australia is possible.
Captain Pat Cummins and spinner Nathan Lyon have returned to the Australia XI for the third Ashes Test against England in Adelaide.
Australia Test skipper Tim Paine has tipped Marnus Labuschagne to be a future captain and says the top-order batsman's natural leadership qualities make him a great fit for the role.
Spinner Todd Murphy has been called into the Australia squad in place of the injured Nathan Lyon for this week's fourth Ashes Test, while captain Pat Cummins will skip the rest of the series as his back issue is managed.
Steve Smith was facing throwdowns from team-mate Marnus Labuschagne in the nets when the ball struck his right thumb.
Australia reduced West Indies to 102-4 to tighten their grip on the day-night second Test at the Adelaide
All-rounder Max Maxwell, who has been sidelined by a wrist injury, will come in for the last three games, while Test certainty Josh Hazlewood will skip the last three games.
Reeling from injuries to captain Pat Cummins and paceman Josh Hazlewood, Australia have received a boost ahead of the first Ashes Test in Perth starting Friday, with Cameron Green telling reporters he is ready to bowl free of any restrictions.
Australia head coach Andrew McDonald hinted at a rejig in the top order after misfiring in the World Test Championship final defence against South Africa at Lord's.
England batter Joe Root defended fellow teammate Jamie Smith for his dismissal in the first innings of the final Sydney Test
'The moment was right': Head floors England with match-winning hundred
Steve Smith ended his century drought and Marnus Labuschagne struck his first Test hundred abroad to steer Australia to 298/5 on day one of the second Test against Sri Lanka in Galle on Friday.
Virat Kohli, 36, and Rohit Sharma, 38, are active internationally only in the 50-overs format but their future beyond the three-match series is uncertain.
Marnus Labuschagne believes India's memorable fourth innings run chase at the Gabba from 2021 is of little relevance heading into the final day of a gripping Boxing Day Test.
Images from the first One-Day International between England and Australia, at Trent Bridge, Nottingham, on Thursday.
Ricky Ponting has offered technical advice to Australia's batters Marnus Labuschagne and Travis Head to counter England's bowling attack ahead of the second Ashes Test.
The cricketing ecosystem has learned to survive the prolonged absence of Kohli and Rohit -- at least in two formats -- in this interim period.
Australia declared their first innings on 473/9 and then reduced England to 17/2 after a near-flawless evening session to take charge of the day-night second Ashes Test on Friday.
'It's going to have take something pretty serious to have me miss a game.'
Australia's run-machine Marnus Labuschagne has displaced England captain Joe Root to claim the world's number one Test batter spot following a run of big scores in the ongoing Ashes series.
Glenn Maxwell and Marcus Stoinis were left out of the Australia squad for next month's limited overs tour of India while Labuschagne comes into the squad on the back of some fine form in Test cricket.
Australia's star batter Marnus Labuschagne can't wait to engage in a "lovely game of chess" with Ravichandran Ashwin during next month's Test tour of India after making required changes in his game to combat the ace spinner.
India were dealt a solid blow on Saturday, Day 2 of the fifth Test against Australia, as skipper and pace spearhead Jasprit Bumrah left the Sydney Cricket Ground for precautionary scans after feeling some discomfort in the post-lunch session.
If Labuschagne's pride was wounded, the 27-year-old hid it well when asked about the snub in Brisbane on Friday.
Australia must avoid defeat in Melbourne to keep their hopes alive of taking back the Border-Gavaskar Trophy.
During England's run-chase of 435 runs, Lyon had taken three crucial wickets in the second innings and a total of five throughout the game to help his side gain an upper hand.
Their last eight Tests in Perth have all been defeats, with the most recent setback a bitter innings and 41-run capitulation in 2017 that saw Joe Root's team surrender the urn.
Marnus Labuschagne said Australia, especially the pacers, did not even bring their "B Game" in the win against England in the Ashes opener.
IMAGES from Day 4 of the fourth Ashes Test between England and Australia at Old Trafford in Manchester on Saturday.
David Warner and Marnus Labuschagne led Australia to a crushing 123-run win over South Africa
David was ruled out of the rest of the white-ball series on Monday