No French woman has won the title since Mary Pierce in 2000.
The 14-time major victor is yet to drop a set, conceding just six games in the last two rounds as he strives to become the first man to win 10 titles at a single Grand Slam.
The sixth-seeded Austrian, a semifinalist at Roland Garros previous year, next plays either defending champion Novak Djokovic or No. 19 Albert Ramos-Vinolas.
Did he give up in the last set? Does he need a break from the grind of the tour? "I'm happy because Roberto is a very good player". "This is a whole new situation that I'm feeling".
But Wawrinka is a different player since belatedly breaking through the Grand Slam barrier at the 2014 Australian Open, where he beat a physically compromised Nadal in the final. Thiem has definitely looked better this tournament, but anytime Djokovic has been pushed up against a wall this week he played incredibly, so I really can't say for sure who I think will win.
"I'm sad. It's a very painful defeat here in the French Open", said Muguruza, who left Court Suzanne Lenglen angrily wagging her finger at the crowd.
"I mean, if we live in fear, you know, that's not life".
Danish 11th seed Caroline Wozniacki knocked off 2009 champion Svetlana Kuznetsova 6-1, 4-6, 6-2 to reach the last eight for just the second time. "Now I beat Novak". Thiem has yet to drop a set this tournament and has won 16 of his last 18 sets played overall. Mladenovic took the opener 6-1. The third-seeded Swiss player fell and rolled into the net as he set up match point but he dusted himself down to win the match with an ace.
Halep came all the way back from a set and 5-1 down in the second to defeat Elina Svitolina, 3-6, 7-6 (8-6), 6-0.
Top-ranked Andy Murray is through to the French Open semifinals after beating eighth-seeded Kei Nishikori 2-6, 6-1, 7-6 (0), 6-1.
Djokovic, who had needed five sets to beat Diego Schwartzman in the third round, was 3-0 down in the second set with Thiem's unerring accuracy finding the angles.
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"It's hard to comment, the third set", said Djokovic. "Just pretty bad set".
He clinched victory on his first match point when Nishikori failed to return a powerful serve.
Thiem was showing all his considerable skills, flashing backhand winners down the line and punishing Djokovic with his heavy forehand.
An ace down the middle gave Thiem victory on his first match point.
Djokovic admitted that Thiem was a worthy victor.
"More or less, all the parts of my game are kind of going up and down", said Djokovic. "I also have some experience playing against him now. That's what happened today".
How unlikely was this result?
Police officers meet in front of the Roland Garros stadium for the French Open tennis tournament, Friday, June 2, 2017 in Paris.
Now he is at a crossroads of sorts. The 23-year-old has made rapid progress during the last 12 months and on Tuesday [6 June] will play in his second consecutive French Open quarter-final against reigning champion Djokovic.
On Wednesday, he wouldn't rule out some time off. It was important to move well and hit clean, " he said. "At least I'm trying". "I still can't believe that I'm sitting here".
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