His fellow defending champion, Aryna Sabalenka, routed Lesia Tsurenko 6-0 6-0 while 16-year-old Mirra Andreeva recovered from 5-1 down in the deciding set to beat Diane Parry.
It was generally a good day for the big names, with Coco Gauff, Jannik Sinner and Stefanos Tsitsipas also winning.
Picture of the dayTweet of the dayRod back in his houseOutfit of the dayFallen seeds
Women: Beatriz Haddad Maia (10), Lesia Tsurenko (28)
Men: Ben Shelton (16), Sebastian Baez (26), Sebastian Korda (29), Tomas Martin Etcheverry (30)
Who’s up next?
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Britain’s final singles hope, Cameron Norrie, takes on Casper Ruud for a place in the fourth round.
Chinese players take centre stage in the day on Rod Laver Arena, with Zheng Qinwen meeting Wang Yafan before Shang Juncheng faces Carlos Alcaraz.
Iga Swiatek is first up in the night session against Czech teenager Linda Noskova, while Daniil Medvedev meets Felix Auger-Aliassime.
Murray will make his 16th appearance in the main draw at Melbourne Park on Monday when he faces 30th seed Tomas Martin Etcheverry in the first round.
It was five years ago at the 2019 Australian Open when three-time grand-slam champion Murray contemplated retirement and a highlights montage shown after his round-one exit appeared to signal the end of his career.
Surgery to resurface his hip followed and while it has enabled the five-time Australian Open runner-up to continue playing well into his thirties, the Scot cut a frustrated figure at the end of 2023.
But Becker had little concern over Murray not appearing in Australia again.
“Well, I would never rule Andy out,” Eurosport pundit Becker insisted. “As long as he has fun, as long as he enjoys it and as long as he has success, he will continue.
“I was worried a couple of years ago when he did the press conference and said it was most likely his last one because it was before his surgery so he didn’t know if he would come back.
“We moved past that and I think he is physically fit enough, but obviously the tennis circuit doesn’t sleep and Andy doesn’t get younger either.
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“Those 22-years-old are now those 24-years-olds and Andy is 36 so the clock is ticking.
“I am sure he will do well this year., I am sure he is aiming for a successful Wimbledon and he’ll take it from there.”
At the other end of the spectrum, British number four Jack Draper will aim to make his mark in Melbourne after an injury-hit past campaign.
Draper, 22, recently beat Becker’s protege Holger Rune to win the UTS event in London last month and earned praise from the six-time grand-slam winner.
Becker said: “Look, an unbelievable talent. You can see he loves the competition, he loves tennis, he loves to be out there, but he had some injury problems last year, so he couldn’t play as much as he wanted to.
“He is a big guy, a powerful guy and he needs to address his body. He needs to be longer in the shape he is right now.
“I don’t know him and I don’t know his group of people too well, so I don’t how much he trains on and off the court, but what I could tell is that physically he struggled last year and that is the foundation of a successful tennis player.
“I am sure he learned his lessons, I am sure he had a good winter. I saw the result in Adelaide, he looked fit. I am sure they have done a lot of off-court training and I wish him luck.
“Great Britain needs good, young players. You have got Wimbledon around the corner, you have the Queens tournament so you want your local heroes to be successful there.”
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The Norwegian prevailed 7-6 (7-5), 1-6, 6-3, 4-6, 6-3 in an instant classic that lasted just over four hours on Court Suzanne Lenglen.
Ruud knew he was in for a tough match after winning the tiebreak in the first set, and Davidovich Fokina fought back in brilliant fashion to take the second.
The momentum swung back in Ruud’s favour in the third as he regained the lead in the match, but the Spaniard ensured they could not be separated as he forced a decider after another tight contest.
Despite putting up a good fight, Davidovich Fokina failed to see out what would have been a stunning win, as Ruud edged one step closer to a potential first Roland Garros title.
Next up for Ruud is Tomas Martin Etcheverry in the third round.
Data Debrief: Ruud holds his nerve
Ruud lost his first-ever Roland Garros second-round match (v Albert Ramos in 2018) but is unbeaten in his six matches at that stage of the French Open since.
The Norwegian has now reached the third round at Roland Garros six times in his career, which is more than he has in all other three Grand Slams combined (two at the Australian Open, two at the US Open, 0 at Wimbledon).