Murray beat 53rd-ranked Karen Khachanov of Russian Federation 6-3, 6-4, 6-4 on Court Philippe Chatrier while Wawrinka got the better of World No.15 Gael Monfils 7-5, 7-6 (7), 6-2 on Monday.
For the fourth year in succession, Murray is through to the last four of the French Open, his latest passage to the semi-finals coming courtesy of a four-set victory over Nishikori on Court Philippe Chatrier.
"I think today was probably the best I have played overall", said the top seed, who will face eighth seed Kei Nishikori in the quarter-finals.
"How the players are supposed to know that in their head when we're playing at one speed throughout the whole year, and then you show up at the slams, you're expected to speed up by 5 seconds".
Paris - Tennis legends John McEnroe and Goran Ivanisevic reckon Andy Murray has a good chance of making the final at Roland Garros.
"I played well, was very solid and took my opportunities". I also think when he played the French Open final here with Novak Djokovic, he played extremely well. "He was really aggressive, pushing me all the time, so it was tough for me to find a solution".
Nishikori said of the scoreline: "It's a little bit unusual".
Pliskova reached the U.S. Open final a year ago, but the Czech player had never been past the second round at Roland Garros in five previous appearances.
In four previous matches on clay, Simon Halep had never been able to beat Carla Suarez Navarro.
"Well, obviously the way I turned the match around, it was not a good first set", Murray said. There was so many long rallies, second and third sets.
Wawrinka was surprised to see the sixth seed win so easily, particularly picking up a bagel in the third set against the reigning champion.
'He was playing better. "He had some injury problems and was a little bit sick so he couldn't practise as much as he needs to in order to be ready, especially on clay". I think he started really well, the court bounces really high today and he was using a very heavy forehand and I was running side to side.
He might need another level, however, against Swiss former champion Wawrinka, who annihilated Marin Cilic 6-3 6-3 6-1.
- Second seed Karolina Pliskova came back from a set down to claim a 2-6 6-3 6-4 win over Paraguayan Veronica Cepede Royg.
Brooks Koepka captures 1st major title at US Open
A dizzying day of action could be topped on Sunday with six players within three shots of the lead all eyeing their first major. But his chip landed short of the green on a ridge, leaving him a almost impossible putt to hold the green.
Crosby scores early, but Penguins lose 4-1
He responded by saying that they just lost a game, and that wasn't what he was thinking about right now. As it is, the Final has become a best-of-three, and Nashville is guaranteed to host one more game.
Arnold Palmer's 1960 US Open win honored at Erin
Johnny Miller owned the previous best round of eight-under 63 set en route to victory in the final round at the 1973 U.S. Someone can get out early and shoot a low score. "What I've done this week is unbelievable ", Koepka .
Pakistan stun India to win Champions Trophy final
He celebrated with an extravagant twirl of his bat and kissed the turf as the Pakistan supporters sensed an unlikely win. His transformation into a hero was complete as his final tally was six overs, two maidens, 16 runs and three wickets.