Rafael Nadal and Novak Djokovic could meet at the semi-final stage of the French Open, while Iga Swiatek and Ash Barty are in the same half of the draw.
Nadal will start his quest to win the Paris grand slam a staggering 14th time with a first-round encounter against Australian Alexei Popyrin next week.
Defending champion Nadal, the third seed, is in the same half of the draw as fellow all-time greats Djokovic and Federer, who could face the Serbian world number one in the last eight.
Top seed Djokovic, who is two major titles shy of the record of 20 held by Federer and Nadal, will take on Tennys Sandgren in the first round.
Swiss great Federer will come up against a qualifier in round one at Roland Garros, while two-time runner-up Dominic Thiem is up against Pablo Andujar.
Pole Swiatek claimed her maiden grand slam title at the French Open last year and takes on her close friend Kaja Juvan in the first round.
World number one Barty, who did not travel to Paris to defend her title in 2020 due to the coronavirus pandemic, has will make her return at the clay-court major against Bernarda Pera.
Serena Williams comes up against Irina-Camelia Begu, while last year's runner-up Sofia Kenin must do battle with the 2017 champion Jelena Ostapenko in a standout first-round match.
Carla Suarez Navarro can expect plenty of support when she takes on Sloane Stephens in her first tournament since successfully completing cancer treatment.
Rybakina continues clay winning streak with victory over Bronzetti
In-form Elena Rybakina has moved into the last 32 of the Madrid Open after a straight sets victory over Italian Lucia Bronzetti.
Number four seed Rybakina triumphed 6-4 6-3 on Friday and will next face either Marta Kostyuk or Mayar Sherif.
Rybakina was broken early in each set but ultimately had few problems getting over the line, converting four of her five break points to continue an impressive run of results after winning the Stuttgart Open last week.
She has now won five consecutive WTA matches and has 13 straight wins on clay courts to her name in a superb streak that started one year ago.
Data Debrief: Rybakina in elite company
Since the start of 2020, only two other players have claimed as many 13 consecutive WTA wins on clay, and they are Iga Swiatek and Simona Halep, so Rybakina is in elite company.
Rybakina's last defeat on this surface came in the 2023 edition of the Madrid Open, when she fell to Anna Kalinskaya in her first match, so this win represented a better start to her campaign in the Spanish capital.
World number one Swiatek sees off Xiyu in Madrid opener
World number one Iga Swiatek overcame Wang Xiyu with the minimum of fuss on Thursday to progress to the third round of the Madrid Open.
Swiatek has yet to win the title in Madrid, which is the only clay-court European event at which the Pole has not triumphed, but she got off to a flying start with a 6-1 6-4 victory over Xiyu.
"I love this place. I got to know the city a little better last year," Swiatek said. "So this time I feel more comfortable around."
Next up for the 22-year-old is a third-round tie against 27th seed Sorana Cirstea on Saturday.
Data Debrief
Swiatek has registered 150 match wins on the WTA Tour since the start of 2022. Elena Rybakina and Coco Gauff are the next best with 108 wins each.
She also became the first player born this century to claim 50 combined match wins in Madrid, Rome and Roland-Garros, since the inaugural women's singles event at the Madrid Open in 2009.
Dominant Gauff double bagels Rus at Madrid Open
Coco Gauff made a flying start to her Madrid Open campaign on Thursday, recording the first double bagel main-draw win of her career as she cruised past Arantxa Rus to reach the round of 32.
Gauff needed just 51 minutes to see off 33-year-old Rus as she booked a meeting with Ukraine's Dayana Yamstremska for Saturday.
The US Open champion lost just 18 points throughout the match – eight in the opener and 10 in the second set – as she put any doubts over her recent form to bed in emphatic fashion.
Gauff's power proved too much for Rus in the opener, the third seed winning 88 per cent of points behind her first serve and converting three of four break points to go a set up in just 23 minutes.
Rus brought up four break points midway through the second set, but when she failed to convert them, Gauff punished her in ruthless fashion by reeling off another three games then finishing things with a terrific forehand winner.
Speaking after her win, the American said: "I played really well today. It was just one of those days for me… 6-0 6-0, I've never done that before, I'll probably never do it again."
Data Debrief: Gauff matches Azarenka, Halep feat
Gauff is just the third player to register a 6-0 6-0 win in the women's singles draw at the Madrid Open, following in the footsteps of two former world number ones in Victoria Azarenka and Simona Halep.
The American, who only turned 20 last month, is also the youngest player to double bagel an opponent in any main-draw match on the WTA Tour since Iga Swiatek did so against Karolina Pliskova in the 2021 Italian Open final in Rome.
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