Serena Williams won her third Italian Open title, crushing local favourite Sara Errani 6-3, 6-0 in Rome on Sunday.
Seven-time Italian Open winner Rafael Nadal lost 7-6(7), 6-2 to Stanislas Wawrinka.
Earlier, Pegula secured a breezy 6-2, 6-3 victory over the already-eliminated Jasmine Paolini and said she would work out a strategy for her next opponent despite knowing there was a slim chance of an exit if Gauff prevailed in three sets.
With rain having washed out Wednesday's play, Federer along with champion Rafael Nadal and top seed Novak Djokovic all face playing back-to-back matches on Thursday if they want to reach the quarter-finals.
Defending champion Jannik Sinner and Carlos Alcaraz are aiming for a third successive Grand Slam final meeting when they take their high-voltage rivalry to the US Open while Novak Djokovic looks to foil the new generation as he hunts a 25th major.
The two McLaren drivers were ruled out for excessive skid plank wear hours after the race had ended and the podium champagne been sprayed.
Paris St Germain played out their first goalless draw of the season at Athletic Bilbao on Wednesday but stayed in the driving seat for direct qualification for the Champions League last-16 after a string of fine saves by home goalkeeper Unai Simon denied the defending champions.
Jannik Sinner held onto his world number one ranking ahead of his return from a three-month doping ban
US President Donald Trump, who has campaigned aggressively this year for a Nobel Peace Prize, was given FIFA's inaugural peace prize for his efforts to promote dialogue and de-escalation in some of the world's biggest hotspots.
Carlos Alcaraz, who advanced to the last eight in Cincinnati for the third time, has now won 36 of his last 38 matches.
IMAGES from football matches played across Europe on Friday.
Images from the US Open matches played at Flushing Meadows on Saturday
Six-time champion Novak Djokovic has withdrawn from this year's Italian Open, organisers said on Tuesday.
Grandmaster R Praggnanandhaa kept himself in hunt for an overall top four finish in the Grand Chess Tour after a draw with Wesley So of the United States in the eighth and penultimate round of the Sinquefield Cup in St Louis (USA).
Italian tennis star Jannik Sinner had an audience on Wednesday with the newly elected Pope Leo XIV, himself a keen tennis player, the Vatican said.
Jannik Sinner was part of the longest French Open final when he lost in five sets to defending champion Carlos Alcaraz on Sunday but his dad was not there to witness it.
Australian Alex de de Minaur advanced to the semi-finals, where he will face Jannik Sinner.
Defending champion Jannik Sinner defeated Daniel Altmaier to avenge a loss two years ago at the French Open as he marched into the third round of the Shanghai Masters with a 6-3, 6-3 victory over the German.
India's N Sriram Balaji and his Mexican partner Miguel Reyes-Varela's French Open journey came to an end with the second round defeat against fourth seed Italians Simone Bolelli and Andrea Vavassori, in Paris on Saturday.
Estevao and Rodrygo at the double as Brazil thrash South Korea 5-0
A round-up of Tuesday's action in the UEFA Champions League.
World Champion D Gukesh went down to world's youngest-ever Grandmaster Abhimanyu Mishra of the US in the fifth round of the FIDE Grand Swiss.
Iga Swiatek, who beat American 13th seed Amanda Anisimova 6-0, 6-0 in the Wimbledon final on Saturday to win her sixth Grand Slam title.
The five-times Grand Slam champion recharged his batteries with a short trip to Ibiza but is back in harness ahead of his campaign at Queen's Club, where he faces countryman Alejandro Davidovich Fokina in his opener on Tuesday.
Norway registered a thumping 4-1 win as Italy, who have missed out on the last two editions of the World Cup, were condemned to the playoffs.
Factbox on Spanish second seed Carlos Alcaraz, who beat Italian world number one Jannik Sinner 4-6, 6-7(4), 6-4, 7-6(3), 7-6(10-2) in the French Open final on Sunday to win his fifth Grand Slam title.
R Praggnanandhaa sealed his spot in the Grand Chess Tour finale after finishing runner-up at the Sinquefield Cup.
Norway's Casper Ruud, the French Open runner-up in 2022 and 2023, crashed out of the tournament in the second round on Wednesday after losing 2-6, 6-4, 6-1, 6-0 to unseeded Nuno Borges of Portugal.
World number one Jannik Sinner defeated record-chasing Novak Djokovic 6-4, 7-5, 7-6(3) in a clash of generations on Friday to set up a blockbuster French Open final showdown with defending champion Carlos Alcaraz.
Carlos Alcaraz is only the second man since tennis turned professional in 1968 to win all of his first five Grand Slam singles finals after Swiss great Roger Federer.
Jannik Sinner has decided not to take part in this year's Davis Cup Finals with reigning champions Italy confirming his absence in Monday's team announcement, while world number one Carlos Alcaraz will represent Spain at next month's competition.
Liverpool talisman Mo Salah and substitute Federico Chiesa struck late goals as the Premier League champions began the defence of their title by beating Bournemouth 4-2 in a thriller on the opening night of the season at Anfield on Friday.
The world number closed out the victory despite a few service wobbles late on, improving her win-loss record against Rybakina to 8-5.
World number one Novak Djokovic fended off a resurgent Rafael Nadal 7-5, 7-6 (4) in a pulsating battle on Friday to reach the semi-finals of the Italian Open.
Goals from Pedro Neto and Enzo Fernandez earned Chelsea a 2-0 victory at lowly Burnley on Saturday, a win that moved the Blues within three points of Premier League leaders Arsenal.
American Abhimanyu Mishra, 16, became the youngest-ever player in the history of chess to beat a reigning World Champion in the classical format.
Liverpool shrugged off the absence of Mohamed Salah as midfielder Dominik Szoboszlai scored an 88th-minute penalty to give them a 1-0 Champions League win at Inter Milan.
A summary of Wednesday's action in the UEFA Champions League.
Arsenal maintained a searing pace at the top of the Premier League with a straightforward 2-0 win at Burnley, while Liverpool snapped a dreadful four-match losing run with a 2-0 victory over Aston Villa to climb provisionally to third.
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