Nine-time champion Rafael Nadal and defending champion Novak Djokovic will set up a French Open semi-final blockbuster if they get through their last-eight clashes on Wednesday after rain caused their scheduled clashes to be cancelled Tuesday.
Murray schooled 21-year-old rising Russian Karen Khachanov as the youngster played in Paris for the first time.
Murray was given a standing ovation after using his on-court post-match interview with former player Fabrice Santoro to "share thoughts and prayers with everyone who has been affected" by recent attacks in London and Manchester, where 29 people have died over the past two weeks.
"It was a awful tragedy in London, and also in Manchester, only six or seven days ago".
"Paris has also had some problems too in the previous year or two. I've come a long way the last ten days or so".
Nishikori to Face Dominant Murray in Q'final
Murray paid tribute in his on-court interview to the victims of the recent British terrorist attacks in Manchester and London. In the last eight Wawrinka will face seventh seed Marin Cilic , who has breezed through the draw so far.
Nishikori has had a more gruelling passage to the last eight: he has twice lost a set 6-0, appears hindered by back trouble and will need to play as he did in NY to topple the rapidly improving world number one. He did win their quarter-final at the US Open but Murray was running on empty by that stage of the summer.
In 2015, Nishikori reached the quarterfinals at the major tournament. Wawrinka had only a bit more trouble, eliminating the last Frenchman, No. 15 Gael Monfils, 7-5, 7-6 (7), 6-2. "It doesn't keep me from playing, and it doesn't keep me from playing well", Wawrinka said about his back.
Third-seeded Halep beat Spain's Carla Suarez Navarro 6-1, 6-1 while Rome champion Svitolina, seeded fifth, put out Croatian Petra Martic, 4-6, 6-3, 7-5.
"I lost my mind in the first set", Nishikori said.
"Today was probably the best I have played overall".
Caroline Garcia, seeded 28th, beat French compatriot Alize Cornet in straight sets at the French Open to reach her first Grand Slam quarterfinal.
Kremlin denies report of voting software hacking
Mark Warner said in an interview. "We don't have evidence that that happened", he said, "but that's a very real possibility". The NSA did not conclude whether the hackers had any effect on the outcome, The Intercept said .
Del Potro further acknowledged the fact that Murray played smartly and, in fact, termed him as "one of the smartest guys on the circuit".
Later Monday, Czech world No. 2 Karolina Pliskova, also in the running to become both a first time major victor and the new world No. 1, took on Veronica Cepede Royg in her last-16 tie.
The 26-year-old led 5-2 in the final set before Svitolina rallied to race away with the last five games.
Like in the second set, though, he immediately handed the advantage back to Murray, who served out at the first time of asking.
Seventh seed Marin Cilic advanced as Kevin Anderson retired hurt trailing 6-3, 3-0 and will next face Wawrinka in a battle of U.S. Open champions.
For Khachanov, losing the match was always hard to bite: "It's never fun to lose a match, but I took a great experience from this match to play on the centre court", he said.
Indian-origin Varadkar set to become 1st gay PM of Ireland
Mr Varadkar takes on the leadership of Fine Gael after current Taoiseach Enda Kenny stepped down last month. However, Mr Varadkar has come under criticism for his comments on progressive issues and workers' rights.
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