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• World number one Swiatek sees off Xiyu in Madrid opener

  World number one Iga Swiatek overcame Wang Xiyu with the minimum of fuss on Thursday to progress to the third round of the Madrid Open.

  Swiatek has yet to win the title in Madrid, which is the only clay-court European event at which the Pole has not triumphed, but she got off to a flying start with a 6-1 6-4 victory over Xiyu.

  "I love this place. I got to know the city a little better last year," Swiatek said. "So this time I feel more comfortable around."

  Next up for the 22-year-old is a third-round tie against 27th seed Sorana Cirstea on Saturday.

  Data Debrief

  Swiatek has registered 150 match wins on the WTA Tour since the start of 2022. Elena Rybakina and Coco Gauff are the next best with 108 wins each.

  She also became the first player born this century to claim 50 combined match wins in Madrid, Rome and Roland-Garros, since the inaugural women's singles event at the Madrid Open in 2009.

• Dominant Gauff double bagels Rus at Madrid Open

  Coco Gauff made a flying start to her Madrid Open campaign on Thursday, recording the first double bagel main-draw win of her career as she cruised past Arantxa Rus to reach the round of 32.

  Gauff needed just 51 minutes to see off 33-year-old Rus as she booked a meeting with Ukraine's Dayana Yamstremska for Saturday. 

  The US Open champion lost just 18 points throughout the match – eight in the opener and 10 in the second set – as she put any doubts over her recent form to bed in emphatic fashion.

  Gauff's power proved too much for Rus in the opener, the third seed winning 88 per cent of points behind her first serve and converting three of four break points to go a set up in just 23 minutes.

  Rus brought up four break points midway through the second set, but when she failed to convert them, Gauff punished her in ruthless fashion by reeling off another three games then finishing things with a terrific forehand winner. 

  Speaking after her win, the American said: "I played really well today. It was just one of those days for me… 6-0 6-0, I've never done that before, I'll probably never do it again."

  Data Debrief: Gauff matches Azarenka, Halep feat

  Gauff is just the third player to register a 6-0 6-0 win in the women's singles draw at the Madrid Open, following in the footsteps of two former world number ones in Victoria Azarenka and Simona Halep.

  The American, who only turned 20 last month, is also the youngest player to double bagel an opponent in any main-draw match on the WTA Tour since Iga Swiatek did so against Karolina Pliskova in the 2021 Italian Open final in Rome. 

• Osaka eliminated by Samsonova in Madrid

  Naomi Osaka was knocked out of the Madrid Open by Liudmila Samsonova after an entertaining second-round battle on Thursday.

  Having won her first match on clay for two years against Greet Minnen a day earlier, Osaka was able to force a final set against 15th seed Samsonova but ultimately fell to defeat.

  Samsonova won a close encounter 6-2 4-6 7-5 to book a clash with American Madison Keys – who defeated Irina-Camelia Begu in straight sets – in the next round.

  Osaka had beaten Samsonova at Indian Wells last month and came close to securing another victory as she recovered well from losing the opening set.

  But the Japanese star was broken to fall 5-6 behind in the final set, and the Russian made no mistake in ruthlessly closing out the victory.

  Data Debrief: Samsonova ends losing streak

  This was a crucial win for Samsonova, who came into the match having lost four consecutive contests, including that Indian Wells defeat to Osaka on March 9.

  Samsonova did apply plenty of pressure in the final set – forcing five break points compared to just one for Osaka – and was ultimately rewarded in the closing stages of a contest that lasted two hours and 22 minutes.