23:57 CET - With his win tonight, Sinner extended his winning run at Grand Slams to 15 matches - the only players to win more matches in a row at majors this century are Novak Djokovic (30), Roger Federer (27) and Rafael Nadal (25).
He'll be a big favourite in his quest to make it 16 on the bounce, but he will have the entirety of France against him with veteran Gasquet on the other side of the net in his last-ever tournament.
Before that though, we have a day of action tomorrow featuring Djokovic, Alexander Zverev, Coco Gauff and a number of other top players. Join us then!
22:58 CET - Jannik Sinner is through to the next round. The world number didn't have things all his own way, going 4-0 down in the third set, but ultimately upped his game to secure a 6-4, 6-3, 7-5 win over Arthur Rinderknech.
22:25 CET - Clara Tauson was the last women's seed of the day on court and the world number 22 beat Magda Linette 6-4, 4-6, 6-1 in a tight two-hour battle.
In the penultimate men's match of the day, Dutch number one Tallon Griekspoor fought his way to a 4-6, 6-3, 6-4, 7-5 win over Marcos Giron.
20:43 CET - French number one Arthur Fils has moved into the second round with a 3-6, 6-4, 7-6, 6-3 win over Nicolas Jarry, and women's number seven Madison Keys is also through thanks to a 6-2, 6-1 win over Daria Saville.
19:57 CET - Ugo Humbert made the French crowd sweat at times, but in the end, the 26-year-old home favourite was just too strong for Christopher O'Connell, winning 7-5, 6-3, 7-6(3).
19:51 CET - Former French Open champions Jelena Ostapenko and Barbora Krejcikova both claimed wins on the Parisian dirt, sealing their spots in the second round.
19:09 CET - Richard Gasquet's tennis career isn't over just yet! The 38-year-old overcame fellow Frenchman Terence Atmane, 6-2, 2-6, 6-3, 6-0, to delight the home fans and set up a potential second-round meeting with world No. 1 Jannik Sinner.
Great Britain's Katie Boulter also progressed after battling back to claim a 6-7(4), 6-1, 6-1 win over Carole Monnet.
18:49 CET - There have been a few more winners at Roland Garros, with Daria Kasatkina, Sebastian Ofner and Denis Shapovalov all moving into the second round.
17:43 CET - Holger Rune was given a stern test by the experienced Roberto Bautista Agut, but the Dane dug deep to claim a 6-7(4), 6-4, 6-3, 6-2 victory in over three hours.
17:38 CET - There has been a big upset in Paris, with clay court expert and 18th seed Francisco Cerundolo being comprehensively beaten, 7-5, 6-3, 6-4, by Canadian Gabriel Diallo. That will be a relief to several players in his section - especially Alexander Zverev, who has lost all three meetings with the Argentine.
No such issue for Karen Khachanov, however, with the Russian easing past Aleksandar Vukic, 6-2, 6-4, 6-4.
17:13 CET - Former champion Stanislas Wawrinka was dumped out of the French Open after the 40-year-old was comfortably beaten 7-6(6), 6-2, 6-2 by Brit Jacob Fearnley.
Meanwhile, Alejandro Davidovich Fokina, Ajla Tomljanovic and Jiri Lehecka all progressed with victories.
17:05 CET - Emotional scenes on Philippe Chatrier as Frenchwoman Caroline Garcia played her last ever match at Roland Garros, as she was defeated 6-4, 6-4 by Bernarda Pera. The two-time doubles champion here at this tournament is set to retire from the sport this year.
16:22 CET - It's a happy day for the happy couple with Paula Badosa coming from behind to win a heavyweight clash with Naomi Osaka 6-7, 6-1, 6-4 and boyfriend Stefanos Tsitsipas beating Tomas Martin Etcheverry 7-5, 6-3, 6-4.
In some mixed news for the US, Danielle Collins has made it through in straight sets but men's fourth seed Taylor Fritz has lost 7-5, 3-6, 6-3, 6-1 to Daniel Altmaier. It's turning into a real disaster of a year for him.
15:14 CET - 18th seed Liudmila Samsonova has moved into the next round with a 7-6, 6-2 win over Mayar Sherif.
14:32 CET - Four-time Grand Slam champion Carlos Alcaraz has got his French Open title defence underway with a solid performance against lucky loser Giulio Zeppieri, defeating the Italian 6-3, 6-4, 6-2 to briskly move into the second round.
Hugo Gaston and Robin Montgomery also triumphed in the first round in the French capital.
14:00 CET - Emma Raducanu has come through a real slugfest with Xinyu Wang, getting the better of her Chinese opponent, 7-5, 4-6, 6-3 in two hours and 43 minutes. Up next for her is the tough test of Iga Swiatek.
13:38 CET - Four-time French Open champion Iga Swiatek has begun her quest for a fourth-straight title in Paris with a really impressive win over Rebecca Sramkova, defeating the Slovakian 6-3, 6-3. The Pole hasn't won a title this year, but can she find some form at her favourite tournament?
13:28 CET - Two-time finalist Casper Ruud has got his French Open campaign off to a convincing start, downing Albert Ramos-Vinolas in just over two hours, 6-3, 6-4, 6-2.
Alexei Popyrin, Sebastin Korda and Yuliia Starodubtseva all also clinched first-round wins.
12:56 CET - Elena Rybakina has survived a scare in Roland Garros, fending off world No. 202 Julia Riera to eventually seal a 6-1, 4-6, 6-4 victory.
Veronika Kudermetova also moved into the second round after she defeated Viktoria Tomova, 7-5, 6-1.
12:08 CET - The first result of the day is in, and there has been a massive upset in the French capital! No. 9 seed Emma Navarro has been utterly demolished in round one, falling at the hands of Jessica Bouzas Maneiro, 6-0, 6-1 in just under an hour.
It is the Spaniard's first-ever win at the French Open, and a stunning way to start the day!
11:00 CET - Right then, it is time for some tennis! Day two of the French Open is about to get underway, with players taking to the court.
Follow all of the men's action here and the women's here.
10:01 CET - With an hour until the start of play in Paris, why don't you check out the best moments of day one, which included 14-time French Open champion Rafael Nadal's stunning ceremony!
09:00 CET - Good morning and welcome back to the Tennis Tracker this Monday morning! The order of play in the French capital looks terrific, and it is sure to be a great day of action.
Up first on Philippe-Chatrier is women's defending champion Iga Swiatek, before Naomi Osaka takes on Paula Badosa in one of the most exciting opening round matches of the tournament. Retiring Frenchman Richard Gasquet then takes to the court, before Jannik Sinner headlines the evening session.
On Suzanne-Lenglen, Emma Navarro kicks things off, followed by home favourite Caroline Garcia, who is playing in her last French Open. Carlos Alcaraz then begins his title defence, and Arthur Fils will round things off in front of what is sure to be a raucous home crowd.
Two-time finalist Casper Ruud and former Wimbledon champion Elena Rybakina will also be in action first up, while the likes of Taylor Fritz, Australian Open champion Madison Keys, Holger Rune, Stefanos Tsitsipas, Emma Raducanu and former Roland Garros champion Jelena Ostapenko take to the court.
