Rafael Nadal will become the first man to win 21 Grand Slam titles if he defeats the Russian in Melbourne.
A couple of months ago, the 35-year-old Spaniard was worried that he might never return to the court again.
Nadal plays Berrettini in one semifinal, knowing he's potentially two match wins from a 21st major title.
Shapovalov will meet Rafael Nadal for a place in the semi-finals.
Six-times winners Spain will meet Croatia for a place in the semi-finals.
A summary of Tuesday's action at the US Open.
Medvedev whips Dimitrov to enter US Open final
Scorching heat halted outdoor matches and sent fans scurrying for shade at the Australian Open on Tuesday.
Novak Djokovic said he expects a "great battle" against Italian powerhouse Matteo Berrettini in Sunday's Wimbledon final when victory will earn the Serb a record-equalling 20th Grand Slam title.
Daniil Medvedev fired Russia to victory in the $7.5 million ATP Cup with a dominant performance against Italy in Melbourne on Sunday.
In the ongoing Monte Carlo Masters, Jannik Sinner clinched a hard-fought win as Casper Ruud crashed out.
The fifth seeded German did not let up and another break confirmed the win in two hours and 40 minutes.
Second seed Daniil Medvedev will launch his bid to win his first major title against veteran Frenchman Richard Gasquet.
Stefanos Tsitsipas believes he has proved a point to his critics ahead of Wimbledon by winning his maiden grasscourt title at the Mallorca Championships
Canada's Bianca Andreescu upset Greek seventh seed Maria Sakkari to reach the last 32, while Japan's Taro Daniel crushed world number 15 Alexander Zverev.
How sweet it is: Eubanks's climb up the ranks is 'icing on the cake'
Federer decided to end his Roland Garros campaign on Sunday, a day after winning a gruelling third-round match against Dominik Koepfer.
Vasek Pospisil and Denis Shapovalov clinched the winning point for Canada with a 2-6, 6-3, 6-3 triumph over Kevin Krawietz and Tim Puetz in the decisive doubles match.
Djokovic had been favourite to win a 10th title at Melbourne Park and claim a 21st Grand Slam crown but the Serb now faces being deported from Australia.
Novak Djokovic's ability to play his best tennis under pressure can help him win at least five more Grand Slam titles, John McEnroe said after the World No.1 tied Roger Federer and Rafael Nadal's record with his 20th major at Wimbledon on Sunday.
Nadal will not be playing at Wimbledon, having decided to rest, while eight-time champion Federer is showing signs that, at 39, the window of opportunity to win one more Slam is closing.
Images from Day 2 of the 2024 Australian Open in Melbourne on Monday.
Italy sealed a place in the semi-finals of the ATP Cup by winning both singles matches against France
World number one Rafael Nadal has been drawn alongside defending champion Alexander Zverev, Association of Tennis Professionals (ATP) reported.
Famous faces spotted at the finals:
Djokovic has won the last three editions of Wimbledon in 2018, 2019 and last year
Grigor Dimitrov is the latest player to be hit by injury in Melbourne
Novak Djokovic beat Daniil Medvedev in the US Open final to win a 24th Grand Slam singles title and equal Margaret Court's record haul.
Wimbledon debutant Eubanks ends Tsitsipas's challenge in fourth round.
Djokovic said he was '50-50' about competing at the Tokyo Olympics
Greek third seed Stefanos Tsitsipas battled back from a set down to beat Serbia's Filip Krajinovic 3-6, 6-4, 6-4 in the quarter-finals of the Swiss Indoor championship on Friday. The win took Tsitsipas into his 10th semi-final of the season where he will face top seed Roger Federer, who was handed a walkover after Swiss compatriot Stan Wawrinka withdrew before their quarter-final with a back issue.
Rafael Nadal toppled big-serving American Reilly Opelka to remain perfect on the year while unseeded Serbian Miomir Kecmanovic stunned world number six Matteo Berrettini.
Four years ago Berrettini was playing a Futures event in Italy and on Wednesday became the first Italian man since Corrado Barazzutti 42 years ago to reach the US Open semi-finals.
Novak Djokovic produced a stunning performance to thrash Frances Tiafoe in his first match since winning Wimbledon in July to edge Team Europe ahead in the Laver Cup on Saturday.
Iga Swiatek's maiden triumph at the US Open extended her lead to almost twice as many points as the second-ranked Ons Jabeur
Nadal has won the Australian and the French Open back-to-back and has the chance to become the first man to win all four majors in the same year
Images from Day 9 of the 2022 Australian Open, at Melbourne Park, on Tuesday.
The International Tennis Federation (ITF) has said it is working on additional measures, including a new relief fund, to support lower-ranked professionals who have been left in the lurch due to coronavirus-led lockdowns.
Only once in 16 previous appearances has Federer not survived the group stage, back in 2008. IMAGES from the ATP Finals played at The O2 Arena in London on Sunday
Andrey Rublev and Alexander Zverev clinched the Laver Cup for Team Europe with a 6-2, 6-7(4), 10-3 win over Team World's Reilly Opelka and Denis Shapovalov on Sunday in Boston.