Serena Williams edged past Spain's Garbine Muguruza 2-6, 6-3, 6-2 to reach the quarters.
Naomi Osaka is hogging the headlines for all the right reasons in her native land after she became the first Japanese player to reach a Grand Slam singles final, with one major newspaper hailing her as "a new heroine Japan can be proud of".
Venus Williams stands in the way of younger sister Serena's bid for a calendar-year Grand Slam after reaching the quarter-finals with a 6-2, 6-1 rout of Estonian teenager Anett Kontaveit on Sunday.
Security worries could create a tense atmosphere at the French Open this year after a bomb attack on a British concert hall killed 22 people, French tennis player Lucas Pouille said.
It will be the earliest meeting between the two since their first professional match in the second round of the 1998 Australian Open.
Images from Day 7 at the US Open.
Serena Williams moved another step closer to a record-tying 24th career Grand Slam title with a comfortable 6-3, 6-2 victory over Czech Karolina Muchova on Friday to reach the last 16 at the US Open.
Murray, who is attempting to return to the top of the tennis world after undergoing hip surgery in January, was out of sorts in the first set of the rain-delayed match, losing three service games behind some uncharacteristically soft second serves.
The top women's seeds continued to be scattered at Wimbledon on Wednesday, with Caroline Wozniacki's exit meaning five of the top eight were gone before the end of the third day.
The 2016 champion's next opponent may be far more to her liking than Hsieh, whose dazzling marksmanship left Kerber shrieking in frustration throughout much of the two-hour and eight-minute clash.
World No 1 Serena Williams has tormented Maria Sharapova for over a decade
World number ones Serena Williams, aiming to complete the first calendar-year Grand Slam in 27 years, and Novak Djokovic have been named the top seeds for the US Open championships starting on Monday in New York.
The latest tennis rankings have been announced by the ATP and WTA
US tennis powerhouse Serena Williams dispatched France's Alize Cornet in two sets on Monday, ending a streak of weak family performances that saw older sister Venus eliminated from singles on Saturday and the pair knocked out in doubles on Sunday.
Summary of sports events and persons who made news on Tuesday
Defending champion Simona Halep was knocked out of the French Open 6-2, 6-4 by 17-year-old American Amanda Anisimova in a quarter-final shock.
A summary of sports events and sports persons, who made news on Sunday
Halep through but Stephens exits in Cincinnati
Images from Day 8 of the Australian Open at Melbourne Park on Monday.
Novak Djokovic and Andy Murray will face off in a second claycourt final within eight days at the Italian Open after the two in-form players proved on Saturday that they will be the ones to beat at the season's second Grand Slam in Roland Garros.
The 19-year-old beat the Japanese wildcard 6-2, 6-2 to set up a showdown with former US Open champion Sam Stosur, who downed American teenager Madison Keys 6-1, 6-2 in the other semi at the $250,000 event on the hard courts in Osaka.
Summary of sports events and persons who made news on Monday
Victoria Azarenka withstood some early pressure from Britain's Johanna Konta to continue her quest for a third Miami Open title with a 6-4, 6-2 quarter-final victory on Wednesday.
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.
Big-serving Isner reaches Montreal second round
Serena Williams overpowered German Carina Witthoeft 6-2, 6-2 to set up a third-round clash with big sister Venus at the US Open on Wednesday.
Angelique Kerber produced a polished display to claim her second straight win at the WTA Finals with a 6-4, 6-2 victory over Simona Halep on Tuesday, the world number one virtually booking a spot in the semi-finals of the elite eight-woman event.
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.
IMAGES from Day 6 of the Australian Open in Melbourne, on Saturday.
A summary of Friday's tennis action from around the world.
The 23-times Grand Slam champion looked a completely different player from the person who smashed her way into the semi-finals of the doubles with Caroline Wozniacki on Wednesday but managed to do just enough to beat the 86th-ranked McHale.
Alexander Zverev got the better of older brother Mischa at the Citi Open in Washington on Thursday, winning their first meeting at an ATP Tour event 6-3, 7-5.
The peak remains tantalisingly close for Serena Williams but negotiating the final incline to a record-equalling 22nd Grand Slam singles title is proving the trickiest of all.
Maria Sharapova will be back in the US Open spotlight on Wednesday hoping she can come up with a winning encore to her electrifying first round victory over second seed Simona Halep.
Serena Williams and Marin Cilic both survived third round scares on Friday to keep their US Open title defences on track but there was no escape for Rafael Nadal with the twice-winner going down in a late night thriller.
Former French Open champion Ana Ivanovic was shaken up when a spectator was injured falling down the stairs on Rod Laver Arena but recovered her composure to ease into the third round at the Australian Open on Thursday.
Top seeded Ash Barty overcame a slow start to defeat Maria Sharapova 6-4 6-1, while Simona Halep battled past Ekaterina Alexandrova 3-6 7-5 6-4 in the second round of the Cincinnati Masters on Wednesday.
World number one Novak Djokovic fended off a resurgent Rafael Nadal 7-5, 7-6 (4) in a pulsating battle on Friday to reach the semi-finals of the Italian Open.
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.
Former world number one Serena Williams looked sharp in her return to the hardcourts after a week-long break, soundly defeating Daria Gavrilova 6-1, 6-2 on Monday to advance to the second round of the Cincinnati Masters.
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