The duo could face each other at the quarter-final stage.
Murray was made to fight for two hours and 52 minute
The 37-year-old has enjoyed a renaissance season that has seen her reach the Australian Open and Wimbledon finals and sit just one victory away, against American compatriot Sloane Stephens, from playing for the US Open title for the first time since 2002.
The 36-year-old has been practising hard on the grass and few would bet against her becoming the first mother to win the title since Evonne Cawley 38 years ago.
'Maria will look at it and see no one dominant. Serena Williams is the only player in the past who has been like a thorn in her side, but she feels mentally superior to most of the other and she feels she can win against them all'
Osaka survives test to reach last 16
The 24-year-old Tunisian is the only player from the continent in the women's draw and only the second Arabic woman ever to crack the top 100 in the WTA rankings.
Pole says she feels much better prepared to handle the pressure of her latest career milestone.
Here are some of the reactions to the Grand Slam - originally scheduled for June 29-July 12 - being cancelled for the first time in 75 years.
A summary of Friday play at the French Open.
Tennis already sets the bar with equal prize money paid to women and men at Grand Slam tournaments
World No 1 Serena Williams beat Agnieszka Radwanska for the eighth time in eight matches to move ominously towards the semi-finals of the WTA Championships on Wednesday.
Images from Day 3 of the Australian Open in Melbourne on Wednesday.
Serbia's Novak Djokovic is the top seed in the men's draw which includes five-times US Open champion and 17-times Grand Slam winner Roger Federer as seventh seed - his first time the Swiss has been placed outside the top three in a Grand Slam in over ten years.
World number two Rafael Nadal dropped a set at the Barcelona Open for the first time in four years before advancing to the last 16, beating Argentine Leonardo Mayer 6-7(7), 6-4, 6-2 on Wednesday.
Timea Bacsinszky wants a lasting souvenir at the French Open.
Serena Williams and defending champion Maria Sharapova remained on course for a heavyweight Madrid Open final.
Less than a month after her run to the Wimbledon final, where she lost to Spain's Garbine Muguruza, 37-year-old Williams again had to turn back time against a young challenger.
Raducanu falls in first match since US Open triumph.
Defending Olympic champion Andy Murray reached the semi-finals of the men's tennis on Friday after winning a third-set tiebreak to scrape through a testing encounter against American Steve Johnson.
Could French Open champion Jelena Ostapenko serve up another shock at Wimbledon this year? Or will world number one Angelique Kerber get her season back on track at Wimbledon?
Top seed Dominic Thiem was knocked out the Rio Open in the first round on Tuesday, going down 6-3, 6-3 to Laslo Djere.
Tournament favourite Novak Djokovic beat Finnish veteran Jarkko Nieminen 6-2, 7-5, 6-2 on Tuesday, kicking off his quest for a first ever Paris trophy to add to his eight other Grand Slams.
Novak Djokovic overcame a battling Marin Cilic 6-4, 3-6, 6-3 to reach his sixth Cincinnati Masters final on Saturday while Roger Federer enjoyed a less-taxing route to the title match after his semi-final opponent David Goffin retired with a shoulder injury.
Frenchman Benoit lost his temper in the third game of the second set when top seed Tsitsipas halted the match to attend to a broken shoe lace.
The latest tennis rankings have been announced by the ATP and WTA
That is Murray's 46th ATP title.
The 31-year-old three-time Grand Slam champion had not played a competitive match since losing to Sam Querrey in last year's Wimbledon quarter-finals and opted to have right hip surgery five months ago.
A calm Sloane Stephens picked her shots to perfection to overcome Japan's Naomi Osaka in a battle between the last two US Open champions at the WTA Finals on Monday before top seed Angelique Kerber was upset by Kiki Bertens.
World No 2 Rafael Nadal sailed into the quarter-finals of the China Open, his first tournament in 13 weeks, with a 6-3, 6-4 win over German qualifier Peter Gojowczyk on Thursday.
Images from Day 3 of the 2020 US Open in New York, on Wednesday.
Serena Williams must navigate a heavily American quarter of the draw including sister Venus to complete a calendar sweep of the four Grand Slams, while two sensational quarter-finals loom on the men's side after Thursday's U.S. Open draw.
'I'm a professional competitor who did her best today, and that's all there is to that'
Angelique Kerber showed more passion in the media centre than on the court when she crashed out of last year's WTA Finals, the German angered by the format and frustrated by her inability to win the set off an eliminated opponent she needed to advance.
2014 Wimbledon finalist Eugenie eliminated in 1st round.
As tradition demands the Serb will open play on Centre Court on Monday as defending men's champion but rather than a gentle loosener the 28-year-old faces a real danger in the form of Germany's Philipp Kohlschreiber, the world number 33.
Triple Tour de France champion Chris Froome says he has "no issue" with his private medical records being leaked in a cyber attack by Russian hackers on the World Anti-Doping Agency (WADA).
Summary of sports events and persons who made news on Monday
Images from Monday's action at the French Open.
Canadian Milos Raonic declared that he would stop at nothing to win a major title after admitting his straight sets loss to Andy Murray in Sunday's Wimbledon final would sting.