Coco Gauff advanced to the third round of the US Open by defeating Spanish player Paula Badosa, a victory that marks a turnaround from her previous losses to her opponent. As the fourth seed, Gauff faced a tough challenge at Flushing Meadows, where she was twice a break up in the second set and had a chance to serve for the match at 6-5. However, she made an unforced error by volleying the ball into the net. After a brief moment of frustration, Gauff regained her composure and secured the win on her second match point. Her improved second serve played a crucial role, with Gauff winning 57% of points behind it and committing just five double faults. Gauff acknowledged the difficulty of facing Badosa in the second round, emphasizing that such matches are vital for building confidence. She also highlighted the importance of winning in straight sets. Kazakhstani second seed Elena Rybakina also advanced to the third round with a 6-2, 6-4 victory over Spain's Jessica Bouzas Maneiro. This result marks a historic moment, as it means the women's top 10 in the WTA rankings have all reached the third round of a Grand Slam for the first time since Wimbledon in 2009. This is a significant achievement, reflecting the strong performance of the top players in the tournament so far. Naomi Osaka overcame a second-set setback to defeat Czech player Katerina Siniakova 6-2, 5-7, 6-1. Osaka had the chance to serve for the match in the second set but lost four consecutive games after squandering a 5-3 lead. After taking a bathroom break to regroup, Osaka regained her focus and won six of the final seven games to complete the victory in two hours and two minutes. Osaka admitted the match was challenging, expressing that she was too hard on herself after missing opportunities in the second set. Iga Swiatek, a six-time major winner and former world number one, defeated Argentina's Nadia Podoroska 6-3, 6-2 to set up a match against Czech player Marie Bouzkova. Meanwhile, American former runner-up Madison Keys saved five match points to triumph 5-7, 6-4, 7-6 (10-5) in a thrilling match against Hungary's Anna Bondar. Keys' resilience and ability to hold under pressure were key to her victory in a tightly contested match that went to a tiebreak in the third set.