Second seed Aryna Sabalenka beat Japanese qualifier Moyuka Uchijima 6-2 6-2 under the roof on Court Philippe-Chatrier on Thursday to move into the French Open third round.
Novak Djokovic beat 14-times French Open champion Rafael Nadal in straight sets at the Paris Olympics on Monday.
Three-time champion Novak Djokovic battled past Frenchman Corentin Moutet in a match that lasted more than three hours on Thursday.
Alcaraz has been seen as fellow Spaniard Rafael Nadal's successor on the Paris clay.
Serbia's Novak Djokovic beat Italy's Lorenzo Musetti 6-4 6-2 to reach his first Olympic final on Friday and will bid for gold in a blockbuster clash with Carlos Alcaraz.
Watching the clash at the Court Philippe Chatrier were movie stars Hugh Grant, Sienna Miller, Michael Douglas and Demi Moore and royalty, including Spain's King Felipe VI, Norway's Crown Prince Haakon, and Crown Princess Mette-Marit.
The second seeds cruised through the second set after a tense opener
Fifth seed Iga Swiatek stages revival to stay in hunt for 4th French crown.
Playing in the same arena where the German had suffered torn ligaments in his ankle a year ago
'Beautiful draw': Retiring Gasquet meets Sinner in French Open swansong
The section affected was situated just below Court Philippe Chatrier, the main arena of the Paris stadium where defending champion Garbine Muguruza was playing Estonian Anett Kontaveit.
IMAGES from the French Open played at Roland Garros, in Paris, France, on Sunday.
The free-swinging Monfils broke Draper's serve in the fourth set as the clock moved past 11pm local time and saved five break points in an epic seventh game to move 5-2 ahead.
'Every time I step onto this court I'm playing for history.'
IMAGES from the French Open quarter-finals played in Paris on Tuesday.
Carlos Alcaraz fought back from the brink to outlast top seed Jannik Sinner 4-6, 6-7(4), 6-4, 7-6(3), 7-6(10-2) in a French Open final for the ages on Sunday to retain his crown and cement his status as the Prince of Clay in Roland Garros' post-Rafa Nadal era.
Paul must overcome defending champion Alcaraz in the quarter-finals to keep his quest for a maiden Grand Slam title alive.
Sharapova's quarter-final defeat by Williams at the 2016 Australian Open was the last competitive match the Russian played for 15 months after she received a doping ban while American Williams was on a maternity break for most of 2017.
Coco Gauff overcomes Sabalenka in error-riddled final to win French Open
World No 1 Rafael Nadal eased into the French Open final after defeating Britain's Andy Murray 6-3, 6-2, 6-1 at the Roland Garros on Friday.
Four protesters, one letting off a flare, briefly interrupted the French Open tennis final between Rafa Nadal and fellow Spaniard David Ferrer on Sunday.
He said on Friday he was concerned the injury, which caused him to scream in pain on court Philippe Chatrier, was "very serious".
A round-up of the fifth day's play at the French Open.
The two men's quarter-final matches due to be played at the French Open in Paris on Tuesday have been postponed until Wednesday after rain disrupted play at Roland Garros.
Images from day two of the 2011 French Open tennis tournament at Roland Garros in Paris, on Monday.
Images from Day 12 of the French Open at the Roland Garros on Thursday.
Images from Day 1'a matches at the French Open played on Sunday.
Novak Djokovic will begin his French Open quest feeling "invincible" on Monday, according to former world number one Boris Becker.
Images from Day 1 of the French Open 2012 tennis tournament at Roland Garros in Paris, on Sunday.
Rafael Nadal zipped around Court Philippe Chatrier as though he had rockets in his heels on Wednesday during a straight sets quarter-final win over Nicolas Almagro but he was still not quick enough for the umpire.
Play on Court Philippe Chatrier will have a familiar feel on Thursday with Rafa Nadal and Justine Henin, holders of eight French Open singles crowns, bidding to move into the third round.
Rafa Nadal said he was not playing well enough to lift the French Open title despite breezing past Ivan Ljubicic in their fourth-round match on Monday.
Images from Day 8 at the French Open in Paris, on Sunday.
Gusty winds and half-empty stands gave no sense of the usual Parisian glamour as last year's French Open runner-up Samantha Stosur began with an easy win on Sunday and Lleyton Hewitt pulled out injured.
Novak Djokovic huffed and puffed but forced his way into the fourth round of the French Open.
Rafa Nadal reclaimed his French Open crown in emphatic style on Sunday when he battered Sweden's Robin Soderling 6-4, 6-2, 6-4 to win the title for the fifth time in six years.
Venus Williams and her dress were centre of attention at Roland Garros on Wednesday but Roger Federer once again proved his tennis needs no added frills as both players moved smoothly into the French Open third round.
Roger Federer did little to dampen the soaring temperatures at the French Open with a red-hot display of shot making that brought the year's second Grand Slam bursting into life on Monday.
Sinner prepares for sleepless night after dramatic loss to Alcaraz at French Open
Security was breached at the French Open on Sunday when a fan jumped onto Court Philippe Chatrier and attempted to take a selfie with Roger Federer.