Novak Djokovic is back at world number one after beating Alexandre Muller in straight sets and Iga Swiatek began her title defence by dropping only one game against Rebecca Peterson.
Britain’s Lily Miyazaki made a mark on her Flushing Meadows debut to reach round two.
Here, the PA news agency looks back at day one at the US Open.
Pic of the day
Former first lady Michelle Obama joined a ceremony to honour former champion and equality campaigner Billie Jean King, and celebrate 50 years since the US Open offered equal prize money to men and women.
Match of the day
Coco Gauff came from a set down in a thriller under the lights on Arthur Ashe against German qualifier Laura Siegemund. The American teenager, seeded sixth, eventually came through 3-6 6-2 6-4.
Shock of the day
Holger Rune tweeted a map of the Flushing Meadows site to highlight his frustration at being shoved out on Court Five. The Danish fourth seed’s irritation was clear as he slumped to a four-set defeat to Spaniard Roberto Carballes Baena.
Stench of the day
It’s a hard court, not grass, but eighth seed Maria Sakkari complained to the umpire about the smell of “weed” wafting through the air during her surprise defeat by Rebeka Masarova.
Brit watch
Lily Miyazaki branded her US Open debut “surreal” after winning her first match at a grand slam.
There were echoes of Emma Raducanu after the 27-year-old qualifier, Britain’s sole representative on day one, beat Russian Margarita Betova 6-3 6-3.
“It’s huge for me, I think,” said Miyazaki. “Qualifying was also, like, obviously a huge confidence booster, but winning at the main draw, it just feels a bit surreal.”
The world number 199 may be unlikely to emulate Raducanu’s fairy-tale title win two years ago, but she still secured a near-£100,000 pay day and a high-profile second-round match against Olympic champion Belinda Bencic.
Fallen seeds
Women: Maria Sakkari (8), Veronika Kudermetova (16), Anhalina Kalinina (28), Elisabetta Cocciaretto (29).
Men: Holger Rune (4), Felix Auger-Aliassime (15), Lorenzo Musetti (18), Alexander Bublik (25), Sebastian Korda (31).
Who’s up next?
Day two sees the other six British hopefuls begin their campaigns. Former champion Andy Murray will be on the Grandstand Court against Frenchman Corentin Moutet. Cameron Norrie, Dan Evans, Jack Draper, Jodie Burrage and Katie Boulter are also in action along with defending champion Carlos Alcaraz.
Alcaraz's pursuit for third straight Madrid Open crown continues by defeating Seyboth Wild
Carlos Alcaraz boosted his hopes of a third straight Madrid Open title as he comfortably beat Thiago Seyboth Wild to reach the fourth round on Sunday.
Back in his home country of Spain, Alcaraz eased to a 6-3 6-3 triumph to set up a fourth-round clash with Jan-Lennard Struff, whom he beat in last year's final.
The first six games of the opening set went to serve, but Alcaraz found a crucial break in the seventh and ninth games of the set to put him in pole position for victory, a lead he would not relinquish as he overcame being broken in the seventh game of the second set to seal his safe progression.
Holger Rune was a surprise casualty as the world number 12 was defeated 6-4 4-6 6-3 by Tallon Griekspoor, though world number eight Andrey Rublev eased through with a straight-sets win over Alejandro Davidovich Fokina.
Data debrief
With his triumph over Seyboth Wild at the Madrid Open, Alcaraz has now won 93.3 per cent of his games at the tournament. That is the highest win percentage of any player with at least 10 games played in a single ATP-1000 event since the format was introduced in 1990.
Against Seyboth Wild, Alcaraz won 27 of his 31 first-serve points, also recording 19 winners to his opponent's 10 as he dominated the contest on his way to victory.
Rybakina eases past Sherif to reach Madrid Open last 16
Elena Rybakina cruised past Mayar Sherif in straight sets to reach the last 16 of the Madrid Open on Sunday.
World number four Rybakina rarely looked like being troubled by Sherif, easing to a 6-1 6-4 triumph, winning 22 of her 26 first-serve points on her way to victory.
The 2022 Wimbledon champion broke Sherif's serve twice in the first set to gain control of the match, before holding her serve five times in the second to ensure victory.
Also into the last 16 in Madrid are Yulia Putintseva and Daria Kasatkina, who beat Caroline Dolehide and Anastasia Pavlyuchenkova respectively, both in straight sets. However, world number seven and reigning Wimbledon champion Marketa Vondrousova is out after she was upset by Mirra Andreeva, losing 7-5 6-1.
Data debrief
In reaching the Madrid Open last 16, Rybakina again showed her class on clay. Her victory over Sherif saw her become only the fourth player in the last 10 years to win 14 straight WTA matches on clay, alongside Serena Williams, Simona Halep and Iga Swiatek.
Additionally, Rybakina's 475 winners at WTA-1000 events in 2024 are 112 more than the next best, Danielle Collins with 363.
Madrid Open: Nadal roars to victory against De Minaur
Rafael Nadal delighted his home fans at the Madrid Open as he roared to an impressive victory over Alex de Minaur on Saturday.
The Spaniard battled to a 7-6 (8-6) 6-3 victory to earn his first win over a top-20 player in the world rankings since the ATP Finals back in 2022.
De Minaur had beaten Nadal last week in Barcelona, but the five-time Madrid champion was not to be denied this time in front of a crowd which included King Felipe VI along with football stars Zinedine Zidane and Vinicius Jr.
Emerging triumphant from an epic 77-minute opening set proved decisive, with Nadal more comfortable in the second as De Minaur missed an opportunity to become the first player to beat him in consecutive weeks since Novak Djokovic achieved the feat way back in 2011.
Nadal will take on Pedro Cachin in the third round after the Argentine dumped out Fances Tiafoe in three sets.
"I'm super happy to be able to be competitive against a great player like Alex and play over two hours," Nadal said, per the ATP Tour website.
"It means a lot to me and the atmosphere here is just a joke, so I can't thank enough everybody here.
"It still needs time [until I am back to my best]. I think for moments it has been a good level of tennis. I was able to do positive things, but still on and off.
"But I really believe that tennis hasn't been an issue for the last two years. More the physical issues.
"If I am able to play weeks in a row and if I am able to play tennis, then I'm going to see how far I can go and how competitive I could be. But that's not the case yet, just step by step and let's see how I recover."
Elsewhere at the tournament, Australian Open champion Jannik Sinner, playing as the top seed at a Masters 1000 event for the first time, cruised to victory over fellow Italian Lorenzo Sonego to start his campaign in style.
It took Sinner just 69 minutes to win 6-0 6-3 and improve to 26-2 in a remarkable 2024 season so far.
“I know Lorenzo quite well and we have a good friendship off the court, we play Davis Cup together, we practise a lot together,” Sinner said.
“The mental side was a little bit different than it used to be, so I'm just happy how I handled the situation. He didn't play at his best. I think we saw this. I wish him all the best for the rest of the season.”
Progress was harder to come by for Daniil Medvedev as he lost the opening set to Matteo Arnaldi, though the third seed eventually battled through 2-6 6-4 6-4 to book a third-round clash with American Sebastian Korda.
There was a surprise result, though, with Brazilian qualifier Thiago Monteiro ending the fine recent form of Stefanos Tsitsipas with a 6-4 6-4 victory.
Tsitsipas was 10-1 on clay this year going into the match, but the sixth seed crashed to a shock defeat just a week after Monteiro had lost in the first round of a Challenger Tour event in Portugal, marking a rapid reversal of his fortunes.
“Every week you have a new opportunity," said Monteiro. “These past few weeks I wasn’t feeling really good on the court. I was trying to do well at Challengers but it didn’t work.
“I just kept up the hard work, day by day. Even when I was not feeling good and not winning matches, I kept believing in myself, and this week it has paid off.
"For sure one of the biggest wins of my career. I knew it was a really tough match and I tried to just believe in myself all the time."
Sunday’s matches will see Nadal’s compatriot Carlos Alcaraz continue his campaign with a third-round clash against Thiago Seyboth Wild.
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