Naomi Osaka, Simona Halep and Serena Williams have reached the quarter-finals of the Australian Open on Sunday through a hard-fought victory.

The three top players all needed three sets to reach the last eight.

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 during 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 very relieved after she got through the eye of the needle.

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

Photo: Pro Shots

Halep settles with Roland Garros winner Swiatek

Later on Sunday, Halep also joined the last eight.

The 29-year-old Romanian lost the first set against Roland Garros winner Swiatek, but fought back nicely in the match: 3-6, 6-1 and 6-4.

With the victory, Halep took revenge for her elimination by Swiatek in the eighth finals of Roland Garros last year.

The number two in the world also ensured that the Polish lost another set at a Grand Slam tournament after 21 sets won.

Swiatek did not give up a set in her seven matches at Roland Garros at the end of last year, and the same was true for her first three matches at the Australian Open.

Halep, who previously played a three-setter this tournament, remains in the race to win the Australian Open for the first time.

The two-time Grand Slam winner lost the final in Melbourne in 2018, where she came to the last four last year.

Williams settles in an exciting match with Swiatek

To reach the semi-finals again this year, Halep has to deal with Serena Williams.

The 39-year-old American, who was defeated by the Romanian in the Wimbledon final of 2019, was spared elimination in an exciting match against the Belarusian Aryna Sabalenka: 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).

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