French Open 2021 Results: Winners, Scores, Stats from Saturday's Singles Bracket

Roger Federer survived his toughest test yet at the 2021 French Open on Saturday.

The 39-year-old was pushed to four sets by Dominik Koepfer, who was playing in the first Grand Slam third-round match of his career. 

Federer's win completed another good day for the Big Three of men's singles. Novak Djokovic and Rafael Nadal ran away with straight-set wins at Roland Garros.

Over in the women's bracket, three American women moved on to the final 16. Sofia Kenin, Coco Gauff and Sloane Stephens will fight for quarterfinal spots in different matches. 

Stephens once again turned in the most surprising result of the group, as she pulled off her second straight upset. She has the clearest path to the final eight after No. 5 seed Elina Svitolina was eliminated.

Saturday French Open Results

Men's Singles

No. 1 Novak Djokovic def. Ricardas Berankis, 6-1, 6-4, 6-1

No. 3 Rafael Nadal def. Cameron Norrie, 6-3, 6-3, 6-3

No. 8 Roger Federer def. Dominik Koepfer, 7-6 (5), 6-7 (3), 7-6 (4), 7-5

No. 9 Matteo Berrettini def. Soonwoo Kwon, 7-6 (6), 6-3, 6-4

No. 10 Diego Schwartzman def. Philipp Kohlschreiber, 6-4, 6-2, 6-1

No. 18 Jannik Sinner def. Mikael Ymer, 6-1, 7-5, 6-3

Lorenzo Musetti def. Marco Cecchinato, 3-6, 6-4, 6-3, 3-6, 6-3

Jan-Lennard Struff def. Carlos Alcaraz, 6-4, 7-6 (3), 6-2

Federer was tested in every set by Koepfer. 

The unseeded German pushed Federer to three tiebreaks and made it hard for the Swiss to finish off the match in the fourth set. 

Federer conceded four break points to Koepfer, and he was not efficient enough on his opponent's serve. Federer won five of the 14 break-point opportunities he forced. 

Federer earned the decisive break on the penultimate game of the match. He scored four straight points at 5-5 in the fourth set to earn the chance to win on his own serve.

While Federer struggled at points, Djokovic and Nadal played well enough to ease into the fourth round through straight-set wins. 

Djokovic gave Ricardas Berankis no chance of springing an upset, as he held the Lithuanian to six game victories. 

Nadal faced a tough test from Cameron Norrie, but the British player could not hold on to advantages he earned through break points. 

The reigning men's champion had an answer for everything Norrie threw at him and finished him off in straight sets. 

Both Djokovic and Nadal will take on rising Italian stars in the next round. Djokovic daces Lorenzo Musetti, and Nadal takes on Jannik Sinner. 

The 18th-seeded Sinner is the more notable star of the two players. He broke out on the major stage with a quarterfinal berth at the 2020 French Open. 

The victor of the Nadal-Sinner match will likely face 10th-seeded Diego Schwartzman, who won his third consecutive straight-set match in Paris. 

Schwartzman reached the French Open quarterfinals in 2018 and the semifinals in 2020. He should get past Jan-Lennard Struff to book his third spot in the final eight. 

Women's Singles

No. 4 Sofia Kenin def. No. 28 Jessica Pegula, 4-6, 6-1, 6-4

Barbora Krejcikova def. No. 5 Elina Svitolina, 6-3, 6-2

No. 8 Iga Swiatek def. No. 30 Anett Kontaveit, 7-6 (4), 6-0

No. 24 Coco Gauff def. No. 13 Jennifer Brady, 6-1 (retired)

No. 17 Maria Sakkari def. No. 14 Elise Mertens, 7-5, 6-7 (2), 6-2

Sloane Stephens def. No. 18 Karolina Muchova, 6-3, 7-5

No. 25 Ons Jabeur def. Magda Linette, 3-6, 6-0, 6-1

Marta Kostyuk def. Varvara Gracheva, 6-1, 6-2

Kenin was pushed to three sets by Jessica Pegula, but she eventually prevailed in her chase to get back to the French Open women's final.

The fourth-seeded American gained momentum in the match by taking the second set 6-1 and earning two service breaks at the start of the third set. 

Kenin's path to the final does not get any easier with Maria Sakkari next on the docket. The 17th-seeded Greek won the match of the day in three sets over No. 14 Elise Mertens. 

Sakkari fell in the second-set tiebreak but rebounded better than Kenin did in her match by taking out Mertens 6-2 in the final set. 

If Kenin gets past Sakkari, she would likely take on Iga Swiatek in a 2020 final rematch. Swiatek was tested for the first time in the tournament, as Anett Kontaveit won five games off her in the first set.

Swiatek was able to close out the first set and then slammed the door shut on the 30th seed with a second-set shutout. 

Swiatek will face Marta Kostyuk in the fourth round. Kostyuk was one of three unseeded women to win on Saturday. Stephens was the most notable member of the trio. 

The 2018 French Open finalist is on a five-set winning streak in Paris with two-set triumphs over Muchova and Karolina Pliskova. 

After Barbora Krejcikova's upset win over Svitolina, Stephens could now be viewed as the favorite to advance to the semifinals from the top two sections of the women's draw. 

Coco Gauff got past Jennifer Brady because of an injury retirement, and Ons Jabeur struggled in the first set with Magda Linette before nearly sweeping the next two sets. 

If Stephens continues to be consistent on the clay, she may make a surprise run to the championship match.

Statistics obtained from RolandGarros.com.