Top seed and defending champion Novak Djokovic rallied to see off Frenchman Gael Monfils 6-7(4), 6-2, 6-4 in the Shanghai Open quarter-finals on Friday and world number one Rafa Nadal also booked his place in the last four.
Alize Cornet fought tooth and nail but the local favourite's French Open run came to an end when she was knocked out 6-2, 7-6(9) in the fourth round by Ukrainian 19th seed Elina Svitolina on Sunday.
The Frenchman, seeded five, had no answer to left-hander Muller's swinging serve as he bowed out 6-4, 6-4.
It was the best match of Wimbledon's opening week as, amongst the expected histrionics, both men hit the heights with some relentlessly powerful and accurate serving in particular.
World No 1 Serena Williams kept her Wimbledon title defence on track on Sunday, downing Germany's Annika Beck 6-3, 6-0 with a crushing display of power and booming serves.
Belgium's chances of claiming a maiden Davis Cup title against hosts France remained intact after Friday's opening singles, in which David Goffin made a huge impression, were tied 1-1.
Tatsuma Ito and Michal Przysiezny claimed the biggest wins of their careers at the Japan Open on Tuesday when the local wildcard knocked out top seed Stan Wawrinka and the Polish qualifier saved match points to beat Jo-Wilfried Tsonga.
Images from all the action on Day 9 of the Australian Open at Melbourne Park on Tuesday
A summary of Novak Djokovic's rise in the tennis circuit in photos.
With Roger Federer missing due to injury, Andy Murray upset in the quarters and Rafael Nadal a fourth-round loser, Djokovic marches on in a quest for a 13th Grand Slam title without his familiar high profile rivals standing in the way.
World number one Novak Djokovic survived a second set fightback from Slovak Martin Klizan before winning his opening match at the Miami Open 6-0, 5-7, 6-1.
Stanislas Wawrinka survived a second-set wobble to beat Jo-Wilfried Tsonga 6-1, 3-6, 6-3, 6-2 and give Switzerland a 1-0 lead over hosts France in the Davis Cup final on Friday. In the second match, Gael Monfils rose to the occasion as he upset Roger Federer 6-1, 6-4, 6-3 to help France level.
Gaston keeps French flag flying at Roland Garros.
Briton Andy Murray will take over from Novak Djokovic as World No 1 when the rankings are updated on Monday after his Paris Masters semi-final opponent Milos Raonic withdrew with a leg injury on Saturday.
British tennis maestro Andy Murray has reclaimed his second spot from Roger Federer in the latest ATP rankings after winning his maiden Italian Open title.
Novak Djokovic's star still burns bright as he returns to Melbourne Park in search of a record seventh Australian Open title.
Defending champion Marin Cilic and unseeded Roberta Vinci were the first through to the quarter-finals of the US Open in New York, on Tuesday, and both needed to go the distance against tough French resistance.
Local hope Nick Kyrgios has been elevated to the Rod Laver Arena for his meeting with childhood hero Jo-Wilfried Tsonga at the Australian Open on Friday, when Melbourne Park is again expected to swelter.
Eleven years after their first meeting in the Australian Open final, Novak Djokovic and Jo-Wilfried Tsonga will take a trip down memory lane on Thursday to renew their rivalry in the second round in Melbourne.
The charismatic 18-year-old Canadian has infatuated the New York crowds with his skill and on court panache that has made him the youngest man to make it into the fourth round of the US Open since American Michael Chang in 1989.
Novak Djokovic sauntered past Spaniard Feliciano Lopez to reach the quarter-finals of the Shanghai Masters on Thursday but Andy Murray had to claw past big-serving American John Isner after losing a first-set tiebreaker.
There were glimpses of the formidable Rafa Nadal as the eight-times champions swept aside French Open champion Stan Wawrinka 6-1, 6-4 on Friday to reach the Monte Carlo Master semi-finals.
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.
Wimbledon's genteel surrounds resembled Saturday night on a casualty ward as injuries saw seven players withdraw or retire and third seed Maria Sharapova stumble to a shock second-round defeat on Wednesday.
Andy Murray is more afraid of losing his wedding ring than a tennis match these days but that did not stop him from storming to a 10th successive win on clay at the Rome Masters on Wednesday.
Sania Mirza and Rohan Bopanna continued their good form as Indian Aces dished out yet another dominating performance to beat Manila Mavericks 28-23 in the UAE leg of the International Premier Tennis League in Dubai, on Friday.
Novak Djokovic was dumped out of the Paris Masters in straight sets by Marin Cilic on Friday, opening the door for Andy Murray to end the Serb's two-year stranglehold on the world number one ranking.
Milos Raonic, the finalist at Wimbledon this year, and women's world number five Simona Halep of Romania have pulled out from next month's Rio Olympics due to fears over the Zika virus.
Images from the Australian Open matches played at Melbourne Park on Wednesday.
Yannick Noah is looking to restore old-fashioned values to the French Davis Cup team as he embarks on his third stint as captain.
Summary of all sports events and persons that made news on Thursday.
Nadal converted two of three break chances to claim his 19th win in 22 encounters against the Swiss.
Novak Djokovic claimed a fourth Wimbledon title in ruthless fashion as he beat giant South African Kevin Anderson 6-2, 6-2, 7-6(3) in the final.
Roger Federer put his global army of "Fed-Head" fans through the wringer for four nerve-shredding sets before he kept alive his pursuit of a record eighth Wimbledon title with a 6-7(4) 4-6 6-3 7-6(9) 6-3 win over Marin Cilic the quarter-finals on Wednesday. Novak Djokovic's shock third round exit had raised hopes that this could be the week when the Swiss finally ends his four-year hunt for an 18th grand slam title, as the Serb had been the only man to beat him at the majors over the past year.
Novak Djokovic endured a fierce challenge to his Melbourne Park reign before overhauling Dominic Thiem 6-4, 4-6, 2-6, 6-3, 6-4 on Sunday to clinch an eighth Australian Open crown and reclaim the world number one ranking. While Rafa Nadal rules Roland Garros with 12 titles, Djokovic holds sway in the title match at Rod Laver Arena having never lost a final in Melbourne Park.
Fourth seed Rafael Nadal survived a few anxious moments before booking his place in the semi-finals of the BNP Paribas Open with a see-sawing 6-4, 6-3 victory over Japanese Kei Nishikori at Indian Wells in California on Friday.
The draw for the first Grand Slam of the season was made on Thursday and the top seeds could face some early tests of their credentials when play gets underway in Melbourne on Monday.
Drained Medvedev pulls out of home tournament in Moscow
As Real Madrid star striker Cristiano Ronaldo watched, the World No 4 Nadal went past Italian Bolelli to set up a quarter-final clash against 10th seed Grigor Dimitrov.
French federation president Bernard Giudicelli has hit out at the country's male players after their disappointing run at Roland Garros, saying they lacked physical strength and grit.
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