Simona Halep blew Paula Badosa away with a Madrid Open masterclass to reach the round of 16 on Saturday.

Second seed Badosa had no answer to the brilliance of Halep in her homeland as the relentless Romanian won 6-3 6-1 at the Caja Magica.

Unseeded two-time grand slam champion Halep took just an hour and 17 minutes to eliminate Badosa, breaking three times in the first set and twice in the second.

Halep, in a new era with Patrick Mouratoglou in her corner, won 84 per cent of points when she landed her first serve in, staying in the hunt to win this tournament for a third time with the French Open on the horizon.

The former world number one will face Coco Gauff for a place in the quarter-finals following the American's 6-1 2-6 6-4 late-night defeat of Yulia Putintseva.

Gauff, the 14th seed, racked up 10 double faults and was pushed all the way by Putintseva, but served out the match after securing a third break in a tight final set.

Ons Jabeur earlier advanced into the third round at the expense of Varvara Gracheva, recovering from a second-set bagel to win 7-5 0-6 6-4.

Jabeur faces a meeting with Belinda Bencic after the Swiss dispatched Karolina Muchova 6-3 4-6 7-5.

Victoria Azarenka came from a set down to beat Tamara Zidansek 3-6 6-1 6-3 to set up a meeting with Amanda Anisimova, who also had to come from behind to dispatch Petra Martic 3-6 6-3 6-2.

Ekaterina Alexandrova and Marie Bouzkova also progressed in the Spanish capital.

Iga Swiatek had to come from a set down to book her place in the Stuttgart Open final with a hard-earned victory over Liudmila Samsonova.

The world number one produced a 22nd consecutive victory as she scraped a 6-7 (4-7) 6-4 7-5 win in a contest that lasted more than three hours.

The Pole will face third seed Aryna Sabalenka in Sunday's final on the German clay.

Swiatek broke early to race out to a 3-0 lead, but was pegged back by her Russian opponent, who fought hard to claim the first set on a tie-break.

The 20-year-old was looking to break the record of Serena Williams, equalling a feat of winning 28 sets in a row, but Samsonova prevented her from doing so.

It was the first time Swiatek had dropped a set since her Indian Wells Open last 16 match against Angelique Kerber in March, but she soon got back into her rhythm and clinched the second set 6-4.

She broke early again in the decider, but was once more broken back by a determined Samsonova, and Swiatek showed frustration with herself as she struggled to put away her opponent.

However, an unusually sloppy service game from Samsonova gave Swiatek another break in the 11th game of the set, which she closed out to seal her place in the final.

The other semi-final in Stuttgart saw Sabalenka overcome second seed Paula Badosa 7-6 (7-5) 6-4.

There were 14 double faults (seven each) in the match, but it was Sabalenka's big serve that ultimately led her to victory, hitting nine aces and winning 76.9 per cent of points on her first serve.

The Belarusian also saved six of eight break points faced as she ultimately eased past her Spanish opponent.

At the Istanbul Cup, third seed Veronika Kudermetova will play Anastasia Potapova in the final after seeing off second seed Sorana Cirstea in straight sets, 6-3 6-3.

Potapova had earlier come from a set down to beat Yulia Putintseva 2-6 6-2 6-2 in the other semi-final.

Iga Swiatek believes a hard-won victory over Emma Raducanu on Friday will steel her for challenges ahead after reaching the Stuttgart Open semi-finals.

World number one Swiatek landed a 21st consecutive victory as she edged out US Open winner Raducanu 6-4 6-4 in an hour and 45 minutes on the German clay.

There was plenty to admire from both players, but in the end it was another straight-sets success for Swiatek, who dropped only two games in her previous round against German Eva Lys.

It makes the 20-year-old Pole the first woman to win 28 consecutive sets on tour since Serena Williams, who did so from the 2012 US Open to the 2013 Australian Open.

Swiatek broke early in the first set to take charge, and with 19-year-old Raducanu battling a back problem the rankings leader soon got ahead in the second too.

This was Raducanu's first-ever match against a player ranked inside the WTA top 10, a peculiar statistic given she is already a grand slam champion.

Swiatek, like her opponent, knows how it feels to win a grand slam as a teenage surprise package, having triumphed as a 19-year-old at the 2020 French Open when ranked only 54th in the world.

At 4-3 in the second set of this contest, Swiatek saved two break points with clinical forehand winners out of the reach of Raducanu, shouting out in satisfaction moments later as she held serve to move a game away.

Raducanu had two more break chances in Swiatek's next service game but again could not convert as her opponent sealed victory.

Swiatek said: "I'm pretty happy that today's match was longer. Not for now, but for the future it's going to give me a lot of experience.

"Right now I want to play really aggressively, and I think this game style is going to fit the surface, and it fit the hardcourts as well."

She will face unseeded Liudmila Samsonova next after the Russian, playing as a neutral, beat Laura Siegemund 7-5 6-3.

The other semi-final in Stuttgart will see second seed Paula Badosa take on third seed Aryna Sabalenka.

Badosa was a 7-6 (11-9) 1-6 6-3 winner against Ons Jabeur, while Sabalenka fended off Anett Kontaveit 6-4 3-6 6-1.

At the Istanbul Cup, Friday saw quarter-final wins for Veronika Kudermetova and Anastasia Potapova, along with Sorana Cirstea and Yulia Putintseva.

Those results set up a semi-final on Saturday between second seed Cirstea and third seed Kudermetova, with Putintseva and Potapova also facing off.

Belinda Bencic has beaten world number three Paula Badosa 2-6 7-6 (7-2) 6-4 to move on to the semi-finals of the Charleston Open.

Bencic, the 10th seed, appeared overmatched early on as she won less than half (12-25) of her service points in the opening set, getting her serve broken twice.

But as Bencic found her rhythm with her serve – winning 77 per cent of her first-serve points in the second set (24-31) – she wrestled the momentum away from Badosa, dominating the tie-break before breaking in the opening game of the third frame.

Bencic will face Ekaterina Alexandrova in the semi-final after the Russian dominated Magda Linette 6-0 6-2.

For the match, Alexandrova won 62 per cent of her points on serve (28-45) and 62 per cent of her points on return (26-42).

Fourth seed Ons Jabeur needed just 64 minutes to get the job done 6-3 6-2 against Anhelina Kalinina, winning 81 per cent of her successful first serves (29-36).

Jabeur will play 15th seed Amanda Anisimova in the semi-final after the American cruised past compatriot Coco Vandeweghe 6-1 6-2.

It was not a perfect performance from Anisimova, but she saved all five break points that she faced to never allow her opponent to get close.

Meanwhile, in Bogota at the Copa Colsanitas, top seed Camila Osorio is through to the semi-final after defeating Elina Avanesyan 6-1 6-4, where she will meet Laura Pigossi.

Top-seeded Aryna Sabalenka won for the first time since late February, defeating Alison Riske 7-6 (7-3) 6-4 at the Charleston Open on Wednesday.

Losing her opening matches at the sunshine double of Miami and Indian Wells, after only taking five games off Iga Swiatek at the quarter-final in Doha, the world number five improved her head-to-head record with Riske to 5-0.

Sabalenka by no means cruised to victory, though, failing to close the match out at 5-2 in the second set. Riske had four break points to level at 5-5, but the 23-year-old powered through when she needed to, eventually closing out after an hour and 49 minutes.

Second-seeded Paula Badosa of Spain and ninth-seeded American Madison Keys also advanced to the third round at Charleston, with respective wins over Anna Bondar and Ulrikke Eikeri.

Badosa, who made the semi-finals in Charleston last year, overcame a mid-match rain delay to eventually win in an hour and 35 minutes.

Jessica Pegula continued her positive run of form after making the semi-finals in Miami, accounting for Jasmine Paolini with a 6-2 6-1 victory.

Other seeded winners included Belinda Bencic and Alize Cornet, while Elina Rybakina, Ajla Tomljanovic and Shuai Zhang were among seeds who lost on Wednesday.

The weather in South Carolina continued to be a problem at the first WTA clay-court event this season, however, as the match between Ons Jabeur and Emma Navarro was suspended due to heavy rain.

Meanwhile at the Copa Colsanitas in Bogota, Rebecca Peterson was the only seeded player in action on Wednesday, and lost 6-1 6-4 to Germany's Tatjana Maria.

Alize Cornet was the highest seed in action on the first day of the Charleston Open, and showed her class, beating Alycia Parks 6-0 7-5.

Cornet, the 12 seed, was nearly perfect in the first set, winning 86 per cent of her service points (12-14) and 80 per cent of her return points (12-15).

15 seed Amanda Anisimova also made it through, and with an identical scoreline, defeating American compatriot Sachia Vickery 6-0 7-5.

China's Shuai Zhang is the 16 seed, and she also only needed two sets to see off unseeded opponent Francesca Di Lorenzo 6-2 6-4.

Hungary's Anna Bondar earned a second-round matchup against world number three Paula Badosa after defeating the Netherlands' Arianne Hartono 6-1 6-4.

Italian Jasmine Paolini will meet six seed and world number 13 Jessica Pegula in the second round after beating Romania's Gabriela Lee 6-2 6-3.

Meanwhile, in Bogota at the Copa Colsanitas, Brazilian qualifier Laura Pigossi defeated five seed Harmony Tan 6-4 6-3.

Top seed and world number 33 Camila Osorio will kick off her tournament on Tuesday against Ylena In-Albon.

Iga Swiatek progressed to her fourth WTA 1000 semi-final on Wednesday at the Miami Open, defeating Petra Kvitova 6-3 6-3.

After taking out tournaments in Doha and Indian Wells this year, the 20-year-old's undefeated streak now moves to 15 in a row.

Kvitova largely stayed in points in the opening exchanges and held a higher first-serve rate than Swiatek, but indicative of the form the Polish star is currently in, she played with clarity and did not hesitate when opportunities presented.

Along with winning six of eight points on Kvitova's second serve in the first set, the soon-to-be world number one converted on her sole chance at break point, claiming the crucial break in the sixth game before closing the opening set out.

After a tough service hold in the fourth game and four initial chances at break point in the second set, Swiatek made it count on her fifth attempt, spectacularly managing to move the 28th seed around the court and turn defence into attack.

Seeing the finish line, the Polish second seed grew increasingly assertive in both serve and shot selection to both secure the break and see out the match, even claiming a second break for a punctuation mark.

Swiatek will face Jessica Pegula, who is also through to the semi-finals after Paula Badosa retired from their matchup due to a viral illness.

Pegula was leading 4-1 after only 18 minutes of play when Badosa retired, having won four straight games after initially dropping her serve.

The 28-year-old has now won her last two matches in Miami via retirement after she advanced past Anhelina Kalinina in the fourth round, winning the first set 6-0.

If Pegula defeats Swiatek in the semi-final, it would make for her maiden WTA 1000 final appearance.