French Open LIVE: Latest tennis scores and results from Roland Garros

Alcaraz, 21, claimed he had the “key” to beating Stefanos Tsitsipas ahead of their night session quarter-final.

And the Wimbledon champion was as good as his word, overpowering the Greek ninth seed 6-3 7-6 (3) 6-4.

Tsitsipas made a brief fight of things in the second set, and complained of hindrance to the umpire following one elongated Alcaraz grunt during the tie-break.

But a double-fault midway through the third set gifted Alcaraz the initiative and the Spaniard duly took his head-to-head with Tsitsipas to six wins from six matches.

“I think it was a very good match, I played great,” said Alcaraz. “I controlled very well my emotions and was really calm in the moments I had to be. I’m really happy to play a semi-final here in Roland Garros.

“Jannik will be a really difficult challenge, right now he’s the best player in the world, the player playing the best tennis right now.

“We’ve played some great, great matches. Thanks to him I push myself to be a better player, to improve my game to try to beat him. I’m ready to take that challenge.”

When asked about playing Sinner, Alcaraz said: “Well it’s a really difficult challenge, I’m not going to lie, right now I think he is the best player in the world, or who is playing the best tennis right now.

“We have played great matches, high level. I am glad to have him in the tour, to have him at this level because thanks to him I push myself and give 100 percent every day to try and beat him.

“I love watching him play as well. it’s going to be a really difficult challenge for me but I am ready to play in this beautiful court, it is the match that everyone wants to watch. I am sure we will play our best tennis so let’s see who’s going to win.”

Carlos Alcaraz: “I think it was a really good match, I think I played great, I think it was a bit up and down the game, I controlled my emotion a bit more and I was calm in the moments I had to and I was happy with how I managed everything and really happy to play in the semi final at Roland Garros.

Carlos Alcaraz was just dominant when he needed to and was too good for Stefanos Tsitsipas, despite trying to change things up and use the court to his advantage.

There was some good tennis, including some clever net play from Tsitsipas, but it was not enough to threaten Alcaraz, who he only managed to break once in the three sets.

The crowd have to be calmed as Alcaraz prepares to serve for the match, he goes wide but his follow goes straight into the net to the cheers from the crowd, who might want this night session to last just a little bit longer.

Tsitsipas has a small chance here at 0-30, but he misses a backhand and is on the back foot, and he misses a second and the advantage is lost.

Alcaraz has match point after one goes just long, he follows up a kicked serve with a drop shot and Tsitsipas can’t get there.

Alcaraz books his place in the semi-finals!

Tsitsipas takes the first two points, including a big ace to show he’s not going to make it easy for Alcaraz.

Tsitsipas misses an easy backhand to allow Alcaraz back into the game at 40-30, but he does hold.

Alcaraz will serve for the chance to win this match and book his place in the semi-finals to play against Jannik Sinner.

Tsitsipas wins the first point of Alcaraz’s serve, but he can’t follow it up with another after being made to chase around the court.

But another missed backhand and Alcaraz has the advantage at 30-15, Tsitsipas has had significantly more unforced errors than his opponent in this game so far.

Alcaraz takes the game to 15 and he is just one game away from winning the match.

Alcaraz makes a mistake this time around and talks to himself after the Greek player takes the first point of the game.

The Spaniard almost has his back to Tsitsipas when he goes 30-0 ahead, but it’s reduced with another double fault.

Alcaraz has been given a chance to break here, it was a flicked backhand and a bit too casual, and he’s given the Spaniard the game with a double fault!

Could that be the real turning point to Alcaraz wrapping up the match?!

A wild forehand that almost goes completely out of the court off the edge of Tsitsipas’ racket, and Alcaraz takes a 30-0 lead.

Tsitsipas pulls one back with a passing shot from the net, but Alcaraz replies with a stunning forehand pass shot down the line of his own.

Alcaraz takes the game to 15.

Tsitsipas takes the first point in his service game, the crowd are starting to get a little bit noisier. Tsitsipas misses a forehand, which just drops into the tramlines.

He does win the next one however to go ahead, again after coming to the net. This tactic is definitely bringing him some joy.

But that one he misses an attempted volleyed forehand that looked quite a low percentage shot. A strange choice, and his number of unforced errors in the third set is already at six, and he takes the game next point after nearly hitting Alcaraz with an overhead winner.