Djokovic remained unflustered despite dropping the opening set and suffering several tumbles on the greasy surface.
Ninth seed Auger-Aliassime, 21, was the dominant player in the first set and despite a wobble when serving at 6-5 he won a tiebreak courtesy of some Medvedev double-faults the Russian later blamed on the sweaty conditions.
Factbox on Switzerland's Roger Federer,
A resurgent Svetlana Kuznetsova stunned former World No. 1 Caroline Wozniacki in an absorbing encounter on Rod Laver Arena to reach the quarter-finals of the Australian Open with a 6-2, 2-6, 7-5 victory on Monday.
Rafael Nadal has the opportunity to add another chapter to his storied career, and intensify an already robust debate, should he beat Stanislas Wawrinka in Sunday's Australian Open final.
After two years in the spotlight as Australian Open champion, Victoria Azarenka was reduced to a spectator against Agnieszka Radwanska as she crashed out of the quarter-finals in a bout of self-flagellation on Wednesday.
Immigration Minister Alex Hawke is weighing exercising his discretionary powers to revoke Djokovic's visa
Li Na wore down Agnieszka Radwanska with a barrage of power-hitting to beat the fourth seed 7-5, 6-3 and advance to her third semi-final at the Australian Open on Tuesday.
Silent assassin Agnieszka Radwanska ended Victoria Azarenka's bid for a hat-trick of titles at Melbourne Park on Wednesday and reached her maiden Australian Open semi-final with a 6-1, 5-7, 6-0 win.
Heartbroken by Djokovic in two five-set epics in Melbourne and the US Open last year, the eighth-seeded Swiss played out of his skin to upset his Grand Slam nemesis 2-6, 6-4, 6-2, 3-6, 9-7 in an exhilarating four hours.
Third seed Maria Sharapova was dumped out of the Australian Open on Monday with a 3-6, 6-4, 6-1 fourth round loss to Slovakia's Dominika Cibulkova on Rod Laver Arena.
Picking up her racquet bag and marching straight out of Rod Laver Arena without a nod or a wave, Maria Sharapova's abrupt exit after her fourth-round loss to Dominika Cibulkova on Monday spoke volumes of her disdain for a forgettable Australian Open.
Serena Williams admitted that a bad back sustained during practice hampered her movement during her shock fourth round loss to Ana Ivanovic on Sunday, but refused to blame the injury for her stunning exit that blew the Australian Open wide open.
Images from the Australian Open matches played on Sunday.
Serbia's Ana Ivanovic stunned World No 1 Serena Williams at the Australian Open on Sunday with a 4-6, 6-3, 6-3 fourth-round upset at Rod Laver Arena.
Images from the Friday's play at the Australian Open.
Victoria Azarenka said the prospect of winning a third straight Australian Open title is an inspiration, not a pressure, after booking her place in the third round.
The thought of playing a long match in the extreme Melbourne heat resulted in a sleepless night for Serena Williams, but the World No 1 need not have worried as she strode swiftly into the Australian Open third round on Wednesday.
Images from the Australian Open matches played in Melbourne on Tuesday.
Here is a breakdown of Roger Federer's Grand Slam numbers.
In the 18 years that she has been on tour, Sania Mirza was the standard-bearer for tennis in the country. Never before had an Indian player dominated from the back court with such conviction. Deepti Patwardhan Salutes the Incomparable Sania Mirza.
Carrying her hardcourt success to the French Open and the Wimbledon was the 'biggest goal' going forward for Osaka.
The defeat ended Williams's bid for a record-equalling 24th Grand Slam title.
Serena displayed great mobility to win successive points after long rallies -- one of 21 shots, one of 13 -- and secure what proved to be a decisive break of serve.
Defending champion Victoria Azarenka suffered a panic attack trying to close out her Australian Open semi-final against American teenager Sloane Stephens on Thursday and needed a long medical timeout before setting up a final against Li Na.
Andy Murray embarks on his first Grand Slam campaign as world number one with much stronger title credentials, even if he has lost five finals at Melbourne Park.
Defending champion Novak Djokovic returns to the Australian Open seeking his third consecutive trophy at Melbourne Park, where memories of last year's gut-wrenching final against Rafa Nadal still linger around Rod Laver Arena's blue centre court.
Defending champion and world number one Novak Djokovic won his third-straight Australian Open crown, his ninth in total.
The Australian Open will lose one of its giant killers when South Korean Chung Hyeon meets American Tennys Sandgren in an unlikely quarter-final showdown at the Rod Laver Arena on Wednesday.
In a career spanning 13 years, Frenchwoman Marion Bartoli won seven titles before Saturday's triumph at Wimbledon. She's joins a long list of 'unlikely' champs at the hallowed tennis courts, says Bikash Mohapatra.
Novak Djokovic kicked off his season in style with a 7-5, 7-5 win over Canadian talent Denis Shapovalov on his favourite Rod Laver Arena court on Tuesday before returning to lead Serbia to a doubles victory that sealed their ATP Cup opener 2-1.
Images from Day 1 at the Australian Open.
Images of the Day 11 of the Australian Open.
Novak Djokovic takes his first steps towards entering the history books on Monday and the two-time defending Australian Open champion is taking nothing for granted in his first round clash.
Fifth seed Ana Ivanovic was knocked out of the Australian Open first round on Monday when she was upset by doubles specialist Lucie Hradecka 1-6, 6-3, 6-2.
Rafa Nadal said playing Roger Federer always brings the best out of him after he bludgeoned his way past the Swiss on Friday to reach the final of the Australian Open.
Leander Paes and Radek Stepanek upset Bob and Mike Bryan 7-6(1), 6-2 to win the Australian Open doubles title on Saturday and foil the American twins' bid for a record 12th Grand Slam crown.
Images from Day 3 of the Australian Open in Melbourne on Wednesday.
Nadal said he did not expect to go all the way at Melbourne Park
World number one Nadal made the announcement at Melbourne Park's Rod Laver Arena during the "Rally for Relief" event.
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