The Frenchman, seeded five, had no answer to left-hander Muller's swinging serve as he bowed out 6-4, 6-4.
A summary of Friday's play at Wimbledon.
The 28-year-old Serb's initial slow accumulation of major silverware after his breakthrough at the 2008 Australian Open has accelerated to such an extent that talk of him surpassing the likes of Bjorn Borg, Rafael Nadal and even Roger Federer is no longer fanciful.
Rafael Nadal was made to wait before his second-round Rogers Cup match due to several rain delays but did his part to put the schedule back on track with a speedy 6-2 6-3 win over Frenchman Benoit Paire on Wednesday.
There was also the exciting Rugby Union match that added that much more excitement to the past week. Rediff.com has that and more snapped right here. We bring you a glance of all the action from the week gone by
Rafael Nadal, after having suffered a 6-2, 7-6 (7-4) loss in the quarter-finals of the Swiss Indoors to teenager Borna Coric, has shut down his season to undergo appendix surgery.
With fire in their bellies, former Grand Slam champs Rafael Nadal and Roger Federer are targetting a fresh return to the tennis courts in 2017.
Novak Djokovic eased into Wimbledon final after beating Richard Gasquet 7-6 (7-2), 6-4, 6-4 on Centre Court to reach the Wimbledon final on Friday.
Roger Federer sees light at end of dark tunnel.
Andy Murray eased past Fernando Verdasco at the Aegon Championships on Thursday but an expected quarter-final showdown with the man who beat him at Wimbledon last year was scuppered by Luxembourg left-hander Gilles Muller.
Former world number one Garbine Muguruza was beaten 7-5, 6-4 by Aryna Sabalenka in the China Open second round on Tuesday while an ailing Jelena Ostapenko lost 6-0, 6-0 to Wang Qiang.
Roger Federer doubts he is playing his 'best ever' tennis but is convinced that at 33, he is playing smarter and taking better care of himself as he looks to win a fifth Australian Open title.
The 32-year-old, five-times a winner of the singles at the prestigious Wimbledon warm-up event, delighted a large evening centre court crowd with some fluent shot-making as he and Spanish veteran Lopez beat top seeds Juan Sebastian Cabal and Robert Farah 7-6(5), 6-3.
Roger Federer avoided any more security scares as he moved smoothly into the third round of the French Open on Wednesday but danger still lurks in the bottom half of the draw, namely in the shape of Japan's Kei Nishikori.
Cilic marches past Querrey into Queen's semis
The signs that things were going horribly wrong for Roger Federer were laid bare at Roland Garros.
List of Australian Open men's singles champions since the event began in 1905 (Australian unless stated):
Plotting a path to the Australian Open has never been trickier or more uncertain. Even the best players are baffled about the best way to prepare for their annual trek Down Under.
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.
Juan Martin del Potro continued his encouraging buildup to the Australian Open by reaching the semi-finals of the Sydney International on Thursday, but women's contender Petra Kvitova was stunned by a Bulgarian qualifier in the last four.
Sam Stosur powered into the French Open quarter-finals with a 7-6(0), 6-3 win against Simona Halep in Paris on Tuesday, adapting better to damp and heavy conditions than her higher-ranked Romanian opponent.
Novak Djokovic had to fight back from a set down to beat Thomaz Bellucci and reach the Italian Open quarter-finals.
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.
'I really don't think much about these kind of things. I do my way, he does his way'
Audacious coups by Andy Murray and Angelique Kerber have transformed the tennis landscape and they will begin 2017 eyeing the kind of domination that few would have thought possible at the start of a seismic year.
A summary of sports events and sports persons, who made news on Friday.
Serbia carved out a 2-0 lead over rivals Croatia while Britain led the US by the same score and holders Switzerland were tied with Belgium in the Davis Cup.
Novak Djokovic's flamboyant on-court demeanour may be occasionally unacceptable but it is an integral part of his success, the world number one said.
Two-time Grand Slam champion Victoria Azarenka will no longer bite her tongue or try to fit into any media-trained 'image' as she makes her way on the tennis tour.
Richard Gasquet kept his ATP World Tour finals hopes alive when he overcame Fernando Verdasco 7-5, 6-7(6), 6-3 to reach the Paris Masters third round as fellow Frenchman Jo-Wilfried Tsonga crashed out of the race on Tuesday.
A competitor lambasted the French Open as "one big circus" on Thursday as soggy weather once again came back to exasperate players seeking a foothold in the semi-finals of the rain-hit claycourt major.
Rediff.com brings you the second instalment of the Best Sports Photos of the Year!
Coach Boris Becker can help Novak Djokovic acquire a greater mental toughness to better his recent record in Grand Slam finals, the Serb said ahead of the Dubai Championships which begin on Monday.
Images from the matches played on Day 8at the Roland Garros on Sunday
Roger Federer's straight sets victory over Richard Gasquet in the Davis Cup final against France on Sunday not only made Switzerland only the 14th nation to win tennis's prestigious trophy, but also completed the final piece in the Swiss's puzzle.
As tennis raise hopes of an Indian medal at the Rip Olympics, Bikash Mohapatra/Rediff.com put things in perspective.
Roger Federer's enduring brilliance and his sheer hatred of losing allowed him to withstand a stunning Kei Nishikori fightback and remain undefeated at the ATP World Tour Finals on Thursday.
Novak Djokovic handed Kei Nishikori a brutal lesson in hardcourt tennis as the Serb began his bid for a record fourth successive title at the ATP World Tour Finals with a 6-1, 6-1 win on Sunday.
Nick Kyrgios clinched his maiden tour title on home soil in a big confidence boost ahead of the Australian Open, beating Ryan Harrison 6-4, 6-2 in the Brisbane International final.
Novak Djokovic and Roger Federer notched up contrasting victories to reach the Shanghai Masters quarter-finals on Thursday while David Ferrer fought back from a set down to knock out Andy Murray.