14:42 CET - Our attention now turns to the men's side of the draw, and first up is one of the most tantalising match-ups of the tournament, with highest remaining seed Alexander Zverev taking on teenage sensation Rafael Jodar.
Former runner-up Zverev is the favourite to win this year's title and finally become a Grand Slam champion, and he's handled the pressure that comes with that tag well, dropping just one set on his way to the last eight. However, 19-year-old Jodar is a massive talent, and could be the German's biggest test yet.
Whether he can cause Zverev problems depends largely on how much is left in the legs after two five-set battles in the previous two rounds.
Follow every point of the clash here.
14:27 CET - Marta Kostyuk's incredible run goes on!
The Madrid Open champion has beaten Elina Svitolina 6-3, 2-6, 6-2 to claim her 17th win in a row and move into the semi-finals of a Grand Slam for the first time in her career.
Kostyuk really upped her game again in the decider, playing with real power and real bravery, as shown by her 17 winners. Svitolina just couldn't live with it.
Next up for the victor is a clash with Andreeva, who she claimed a straight-sets win over in the Madrid final last month. Given that result and the tennis she's playing, Kostyuk has to be considered the favourite.
13:54 CET - Svitolina has struck back, raising her level to claim the second set 6-2 and take things to a decider.
This clash, between two of the world's most in-form players, is living up to expectations.
13:23 CET - Marta Kostyuk is halfway to her 17th straight clay-court win and a maiden Grand Slam semi-final after taking the opening set 6-3 against compatriot Elina Svitolina.
12:40 CET - Today's second women's quarter-final is underway, and it's an all-Ukrainian affair between seventh seed Elina Svitolina and the in-form Marta Kostyuk.
Follow point-by-point coverage right here!
12:07 CET - We have our first French Open semi-finalist, with Russian star Mirra Andreeva racing to an emphatic 6-0, 6-3 victory over Romania's Sorana Cirstea in 57 minutes to move into the last four of Roland Garros for the second time in three years.
It was an absolutely flawless performance from the 19-year-old, who converted all six of her break-point opportunities while firing down 18 winners to Cirstea's four.
Andreeva has now won 20 of her last 23 matches, and she will be confident of reaching a maiden Grand Slam final when she faces either Elina Svitolina or Marta Kostyuk on Thursday.
Check out all the match stats here.
11:32 CET - Eighth seed Mirra Andreeva has looked in imperious form so far, winning 25 of 34 points against Sorana Cirstea to take the opening set 6-0 in just 22 minutes. What a statement from the teenager.
11:09 CET - Our first quarter-final clash of the day is now underway on Court Philippe-Chatrier, with Mirra Andreeva locking horns with Sorana Cirstea for a place in the last four of the women's tournament.
Follow point-by-point coverage right here!
09:00 CET - Good morning and welcome to our coverage of today’s tennis, as the men’s and women’s quarter-finals get underway in the French capital!
First up on Court Philippe-Chatrier this morning, women's eighth seed and former French Open semi-finalist Mirra Andreeva takes on the resurgent Sorana Cirstea, who is enjoying a remarkable final year on Tour.
That clash is followed by an all-Ukrainian affair, as Rome champion Elina Svitolina faces compatriot Marta Kostyuk, with the 15th seed and Madrid champion on a stunning 16-match winning run on the surface.
Over on the men's side of the tournament, the highest remaining seed and favourite for the title, Alexander Zverev, continues his long-awaited pursuit of a maiden Grand Slam title when he comes up against Spanish sensation Rafael Jodar.
Finally, in the night session, there's a blockbuster match-up between two of tennis' great talents, as Brazil's Joao Fonseca takes on Czech Jakub Mensik in what promises to be a thriller under the Parisian lights.
Read an in-depth preview of today's quarter-final matches here.