Naomi Osaka and Serena Williams reached the quarter-finals of the Australian Open in the night from Saturday to Sunday (Dutch time) through a hard-fought victory.

It was the first time this tournament that the Japanese and the American lost a set.

23-year-old Osaka had a tough job with two-time Grand Slam winner Garbiñe Muguruza, last year's losing finalist in Melbourne.

The Spanish won the first set and even got two match points in the deciding act at 5-4, but Osaka remained upright and triumphed thanks to a love break: 4-6, 6-4 and 7-5.

It was the first time that Osaka had to fear elimination from this Australian Open.

The number three in the world did not lose more than three games in the first three rounds.

Muguruza was also without a loss of set.

For a place in the last four, Osaka awaits a duel with Hsieh Su-wei.

The 35-year-old Taiwanese reached the quarter-finals of a Grand Slam tournament for the first time in her career, beating the Czech Markéta Vondrousová 6-4 and 6-2.

Osaka can win the Australian Open for the second time in her fledgling career, after earlier success in 2019. She also has two US Open titles (2018 and 2020) on her honors list.

Naomi Osaka was relieved after she crawled through the eye of the needle.

Naomi Osaka was relieved after she crawled through the eye of the needle.

Photo: Pro Shots

Serena Williams settles three sets with Sabalenka

Following on from Osaka, Serena Williams was spared elimination in the fourth round.

The 39-year-old American settled after a match of more than two hours with the Belarusian Aryna Sabalenka, the number seven in the world: 6-4, 2-6 and 6-4.

Williams, who hit seven of Sabalenka's eleven breakpoints, is in the quarter-finals of the Australian Open for the thirteenth time.

She has already won the tournament seven times and for the last time in 2017.

If Williams takes her eighth title, she will match Margaret Court's Grand Slam record.

The Australian tennis legend has won 24 titles in her career.

Williams lost her last four Grand Slam finals (in 2018 and 2019 at Wimbledon and the US Open).

Just like against Sabalenka, the 23-time Grand Slam winner again faces a tough opponent in the quarter-finals.

She will meet two-time Grand Slam winner Simona Halep or Roland Garros winner Iga Swiatek.

Serena Williams survived a three-setter against Aryna Sabalenka and remains in the running for her 24th Grand Slam title.

Serena Williams survived a three-setter against Aryna Sabalenka and remains in the running for her 24th Grand Slam title.

Photo: Pro Shots