In a near-perfect first set, Osaka hit just six unforced errors and lost only five points on serve.

Australia’s Kasatkina improved slightly in the second set and recovered from falling an early break down, but Osaka recovered quickly to win the next three games and see the victory.

Osaka won two US Open and two Australian Open titles between 2018 and 2021, but she has only advanced past the fourth round of a Grand Slam once since her return from maternity leave in 2024.

Daughter Shai celebrated her third birthday on Thursday, with Osaka telling the crowd in a post-match interview: “I don’t think I should be telling you this, but she was kind of bad yesterday.

“We tried to take her to the park, but then she needed to be in time-out, so we are going to try to take her today.

“It was an awesome birthday, she blew out her candles and made a wish, so I hope her wish is to behave better. If not, today is a new day for her!”

Naomi Osaka walks out to Court One dressed in a floating robeImage source, Getty Images
Image caption,

Osaka impressed in another show-stopping entrance, with an embroidered cloak with a white trail

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