The 16-times Grand Slam champion, who has been slightly ill lately, was kept on his toes before racing to victory to set up a meeting with seventh seed Stefanos Tsitsipas.
World number one Rafael Nadal recorded his 20th straight win on clay as he began his quest for a sixth title in Madrid, defeating Frenchman Gael Monfils 6-3, 6-1.
Williams has just one professional tournament remaining before she drops the curtain on her historic career
Garbine Muguruza's chances of winning her maiden grand slam title -- and achieving the rare feat of beating Serena Williams twice in three years at Roland Garros -- may well depend on which version of the world number one turns up on Sunday.
Summary of sports events and persons who made news on Tuesday
The 21-year-old is looking to become just the 11th woman to claim a third consecutive Grand Slam title.
Rafael Nadal won a record 34th ATP Masters 1000 title with a 6-0, 4-6, 6-1 victory over Novak Djokovic in the Italian Open final on Sunday.
Novak Djokovic and Rafael Nadal won on Saturday to set up an Italian Open final meeting
Canadian tennis ace Eugenie Bouchard was left surprised after a male presenter conducting her on-court interview made an unusual request by asking her to give them a twirl.
Summary of sports events and persons who made news on Tuesday
At one stage Yuki was a break up, serving for the opening set but lost his serve and eventually the set. After drawing parity, Yuki twice lost his serve to fall behind 0-3 in the decisive set and never recovered.
Naomi Osaka has witnessed a huge change in her career after claiming a maiden Grand Slam title in 2018, but the rising star of women's tennis will not be changing her quirky personality in media appearances that has endeared her to so many.
Coric, who had failed to win a match in his last two appearances in Beijing and Shenzhen, saved two break points at 3-3 in the second set and clinched the first four games of the decider to record his 32nd match win of the season.
Serena Williams had to dig deep to fend off Latvian challenger Jelena Ostapenko as she wrapped up Friday's play at the Fed Cup in Seattle with a hard-fought victory that gave the United States a 2-0 advantage. Williams' experience and savvy ways showed in critical moments against the 22-year-old Ostapenko as she prevailed 7-6(4), 7-6(3) in a match that took one hour and 46 minutes.
Images from matches played on Day 5 at the Australian Open in Melbourne Park on Friday
Angelique Kerber's first Grand Slam match since winning the Australian Open in January ended in despair after she was beaten 6-2, 3-6, 6-3 by Kiki Bertens of the Netherlands in the French Open first round in Paris, on Tuesday.
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.
Top ranked Serena Williams made a successful return to hard courts with a 6-3, 6-2 thrashing of former French Open champion Francesca Schiavone in the second round of the Rogers Cup on Wednesday.
Former world number one Novak Djokovic showed signs of a return to form with an impressive 7-5, 6-4 victory over Japan's Kei Nishikori in the opening round of the Madrid Open on Monday.
Fourth seed Angelique Kerber's bid for consecutive Grand Slam titles ended when 29th seed Dominika Cibulkova defeated the German 3-6, 6-3, 6-3 in the US Open third round on Saturday.
World number ones Novak Djokovic and Serena Williams will feel like they are working overtime on Friday when organisers cram all four semi-finals into a single session to try and ensure a rain-ravaged tournament ends on schedule.
Williams had little trouble against the 31-year-old German although the gusty breezes at Auckland Tennis Centre played havoc with her ball toss, especially when she was serving for the match at 5-3 in the second set.
Images from Monday's action at the French Open.
The latest tennis rankings have been announced by the ATP and WTA
Top seed Simona Halep came back from 4-1 down in the deciding set to beat Elina Svitolina 6-3 3-6 6-4 in the Qatar Open semi-final on Friday, marking her first victory over the Ukrainian in nearly two years.
Halep through but Stephens exits in Cincinnati
Greek tyro Stefanos Tsitsipas' dream run at the Rogers Cup continued on Friday as the teenager toppled defending champion Alexander Zverev 3-6, 7-6(11), 6-4 to reach the semi-finals in Toronto.
World No 1s Andy Murray and Angelique Kerber have been named top seeds for the first major of the season, Australian Open, which will commences on January 16.
The United States survived a fright from little Latvia on Saturday before winning 3-2 in a Fed Cup qualifier as Serena Williams suffered her first career singles loss in the team event. Switzerland, Spain, Belgium, Slovakia, Germany, Russia and Belarus also moved through to the inaugural 12-nation showdown in Budapest.
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.
Images from Day 4 of the French Open, at Roland Garros, in Paris.
Zhang Shuai stunned Wimbledon Champion Angelique Kerber 6-1, 2-6, 6-0 in the China Open on Thursday to set up a quarter-final clash with Naomi Osaka.
Challengers to Serena Williams' throne have proved as fickle as a Paris spring and as the year's second grand slam starts the veteran American is again seemingly in a league of her own. The 34-year-old's charge to overhaul Margaret Court's record 24 grand slam singles titles may have stalled since she chalked up major number 21 at last year's Wimbledon. But after fine-tuning her claycourt game by winning last week's Italian Open she will begin the defence of her French Open title as the strong favourite. With twice French Open champion Maria Sharapova suspended pending the findings of an anti-doping hearing after she tested positive for Meldonium in Australia this year, the list of players capable of toppling a fully firing Williams is short.
Maria Sharapova's claycourt season got off to a poor start on Tuesday as she lost in three sets to Caroline Garcia in the first round of the Porsche Tennis Grand Prix in Stuttgart.
Roger Federer overcame a sluggish start to defeat Filip Krajinovic 7-5, 6-3 and Kevin Anderson's booming serve proved too much for Joao Sousa as the big names advanced to the fourth round of the Miami Open on Monday.
A summary of Friday's tennis action from around the world.
World number one Rafael Nadal set a new record of winning 50 consecutive sets on a single surface by beating Argentine Diego Schwartzman 6-3, 6-4 on Thursday to reach the Madrid Open quarter-finals.
American Jennifer Brady defeated compatriot Coco Gauff 6-2, 6-4 at the Top Seed Open on Saturday, earning a spot in her first WTA final.
American teenage sensation Coco Gauff became the youngest player to win a WTA title in 15 years as she beat former French Open champion Jelena Ostapenko in the Linz Open final on Sunday.
The 30-year-old is the first German woman to win Wimbledon since Steffi Graf in 1996.
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