Ash Barty completed a great escape to stay alive at the Miami Open, where Simona Halep also progressed.
Barty faced a match point but the defending champion and world number one dug deep to prevail in three sets against Kristina Kucova on Thursday.
Romanian third seed Halep also needed three sets at the WTA Premier tournament in Miami.
BARTY PRODUCES COMEBACK
In her first match outside of Australia in more than 12 months, Barty survived to top qualifier Kucova in Miami.
Barty trailed 5-2 in the third set, with Kucova earning a match point at 5-3 but the Australian star saved it and won the final five games of the match to secure a spot in the round of 32.
Winner of the 2019 French Open, Barty sent down an equal career-high 15 aces in two-and-a-half hours.
"Today was really hard work, and I enjoyed every single minute of it," Barty said on court post-game. "There’s nothing like coming through a test like that, and now I get another opportunity in a couple days' time to play another tough match and test myself again."
Next up for Barty is 2017 Roland Garros champion Jelena Ostapenko, who outlasted Kirsten Flipkens 6-2 5-7 6-3.
HALEP REACHES MILESTONE
Halep brought up her 400th WTA main-draw triumph with a 3-6 6-4 6-0 victory over France's Caroline Garcia.
After dropping the opening set, Halep won 11 of the final 12 games to move through to the next round.
Halep won in one hour, 48 minutes, drastically improving on her first serve after the opening set while coming to grips with Garcia's kick serve.
"I needed time to get used to it and to get the rhythm," Halep said about Garcia's serve having improved her head-to-head record to 7-1, with Anastasija Sevastova awaiting in the last 32 after eliminating American sensation Coco Gauff.
Halep received attention on her shoulder early in the second. "I struggled with my serve," Halep said. "I struggled with my shoulder a little bit, so the attention was a little bit on the pain. [After that] I started to relax myself."
KERBER'S DOUBLE BAGEL
Three-time grand slam winner Angelique Kerber has been up and down in recently, but she flexed her muscles with a 6-0 6-0 humiliation of Renata Zarazua.
Aryna Sabalenka – the seventh seed – was another one to fend off match points before rallying 0-6 6-3 7-6 (11-9) past Bulgarian qualifier Tsvetana Pironkova in a gutsy.
Last year's French Open champion Iga Swiatek knocked off Barbora Krejcikova 6-4 6-2, while ninth seed and two-time Wimbledon champion Petra Kvitova got past Aliza Cornet 6-0 6-4.
Fifth seed Elina Svitolina survived to beat Shelby Rogers 3-6 7-5 6-3 and two-time major winner Victoria Azarenka benefited from a walkover.
Gauff took a relaxed approach in China Open final
Coco Gauff said her China Open triumph over Karolina Muchova came down to being relaxed.
Gauff won 6-1 6-3 in just 76 minutes in Beijing to become the youngest winner of the tournament in 14 years.
The victory marked the 20-year-old's second WTA 1000 title, which makes her the second-youngest player since the format was introduced to win her first two finals.
And Gauff explained she took a more relaxed approach in Sunday's showdown.
"I was just like, 'This match is not going to change my life.' I knew regardless of the result today, I was proud. I was able to overcome and still work on things that I've been practising on, too, and stick to it," she said.
"When you get that far, you're just happy to be in the final. I think it's just being relaxed. My first final, when I was 15, was the worst because you're like, 'I'm never going to get this opportunity again,' which is completely not true.
"The experience of winning in the past, I realise that, yes, winning is great. It feels great right now. But tomorrow I'm going to wake up and it's a different day, 70% of the world doesn't know anything about whether I won or lost, probably even more."
Gauff has now claimed three straight wins over Muchova, who is yet to beat the American.
"I lost to her three times in a row. I'll say very similar losses. It was always the latest rounds of the tournaments when I got many matches under the belt," said Muchova.
"It's very physical with her. I felt like second [best] always in the rallies."
Alcaraz passes stern Wu test to progress in Shanghai
Carlos Alcaraz held his nerve against a spirited Wu Yibing to progress to the fourth round of the Shanghai Masters.
Having already beaten another of the home favourites, Shang Juncheng, in his opener, the Spaniard had to dig deep but prevailed 7-6 (7-5) 6-3 in one hour and 41 minutes on Sunday.
There was nothing to split the two in the opening set, though Wu caused some real problems with his power, and successfully defended two break points in the ninth game.
The tie-break was also tight, but Alcaraz found his edge at the right time, winning the last three points.
Buoyed by the home crowd, Wu started the second set strongly too, but Alcaraz absorbed the pressure well and got the only break of the match in a three-game winning run.
With his winning streak extended, Alcaraz will now face either Gael Monfils or Ugo Humbert in the next round.
Data Debrief: Alcaraz marches on
Alcaraz has put his shock US Open exit firmly behind him, with this his 11th win on the bounce since then.
He coped well with the early pressure Wu threw at him, and put in another solid performance, hitting 11 aces and winning 71% of his points at the net (5/7).
Gauff races to second title of 2024 with China Open cruise
Coco Gauff claimed the China Open title in emphatic fashion on Sunday, bringing up her second WTA Tour trophy of the season.
The world number six defeated US Open semi-finalist Karolina Muchova 6-1 6-3 in just 76 minutes to be crowned the youngest winner of the China Open in 14 years.
Gauff swiftly broke the Czech's serve to propel herself into a 2-0 lead before going on to dominate the first set, which lasted only half-an-hour.
Muchova looked to be surmounting a comeback in the second set, breaking immediately, but Gauff fought straight back, and the American broke Muchova once more to race to victory in Beijing.
It was an impressive win against an opponent who had defeated world number two Aryna Sabalenka and Olympic gold medallist Zheng Qinwen en route to the final. Gauff played 24 winning shots but restricted the world number 49 to just 14.
It marked Gauff's second WTA 1000 title, making her the second-youngest player since the format was introduced to win her first two finals, only older than Bianca Andreescu.
Data Debrief: Gauff a proven winner
Gauff, who was playing her 101st WTA 1000 match, is now the first player to win each of her first seven WTA hard-court finals in the Open Era.
Her victory meant she became the second American player to win the women's singles title at the China Open after Serena Williams (in 2004 and 2013 since the inception of the tournament in 2004.
Gauff has now defeated Muchova in all three meetings in WTA events, previously beating her at the US Open and Cincinnati Open in 2023.
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