Top seed Matteo Berrettini has his sights set on the Queen's Club Championships title after beating Dan Evans in the quarter-finals.
After a delay of more than four hours because of rain in London, Berrettini overcame Evans 7-6 (7-5) 6-3 to reach his third ATP grass-court semi-final.
The Italian hit 13 aces and won 81 per cent of his first-serve points against Evans to set up a last-four clash with Alex de Minaur.
Berrettini improved his win-loss record to 24-6 for the season and laid out his ambition to walk away from the tournament with the trophy.
"I didn't serve that well, but I was returning well and I just played better in the last few points of the tie-break," he said.
"After that, I felt more confident. The conditions were really tough, windy and cold, so I took time to adapt a little bit. I am pretty happy with my performance.
"The court condition was really good. I expected slippery conditions, but it was like yesterday.
"I came here to win the tournament, that is my goal. Now I am two steps away. I am happy with the way I am playing, and my mental attitude is really good."
Up next for Berrettini is Australian De Minaur, who came from behind to defeat Marin Cilic 3-6 6-3 6-4.
The 22-year-old won 73 per cent (22/30) of his second-serve points and saved six of the seven break points he faced as he moved to 16-12 for the season.
In the battle of the British players, Cameron Norrie beat Jack Draper 6-3 6-3, while Denis Shapovalov was leading Frances Tiafoe 6-3 when their match was suspended due to fading light. They will resume on Saturday.
At the Halle Open, Andrey Rublev reached his sixth ATP Tour semi-final of the year thanks to a 7-6 (7-4) 6-2 win over 2011 champion Philipp Kohlschreiber.
"I am happy with my performance to reach the semi-finals for the first time," Rublev said. "The first set was really tough. He was 3-0 up in the tie-break and I came back, which was the key.
"After the first set, I think he mentally went down and I was pumped up. I hit a couple of good returns in the first game of the second set."
Russian Rublev will face Nikoloz Basilashvili in the last four after the Georgian defeated Lloyd Harris 6-4 7-6 (7-5).
In the day's other quarter-finals, Felix Auger-Aliassime beat Marcos Giron 6-3 6-2 and Ugo Humbert overcame Sebastian Korda 6-2 6-7 (5-7) 6-4.
Nadal cruises past teen Blanch to tee up De Minaur rematch in Madrid
Darwin Blanch presented little challenge for Rafael Nadal, who dropped just one game in a convincing 6-1 6-0 triumph at the Madrid Open.
Nadal is feeling his way back to fitness, but 16-year-old qualifier Blanch offered little resistance to the 22-time major champion on Thursday.
Making his farewell appearance at the Madrid Open, where he has won five titles, Nadal needed just 64 minutes to progress to round two.
"I think today I played against an opponent with a great future in front [of him], but today, still making mistakes," said Nadal.
"I just tried to be there, be solid all the time without taking a lot of risks. It worked well. I'm happy to be through and I wish him all the very best for the future."
Nadal's reward is a rematch with Alex de Minaur, who he lost to last week in Barcelona.
Data Debrief
This game saw the largest age gap (21 years, 117 days) between two opponents in the history of ATP Masters 1000 events.
Nadal has now registered 57 wins at the Madrid Open, which is 20 clear of any other player.
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.
Azarenka makes history with 200th WTA 1000 win
Victoria Azarenka made light work of progressing into the round of 32 at the Madrid Open and she made history in the progress.
Azarenka, a two-time finalist in Madrid, despatched Tatjana Maria 6-3 6-1 on Thursday.
It brought up her 200th victory at WTA 1000 events, which makes her the first woman to hit that milestone since the format was introduced in 2009.
The former world number one needed just 81 minutes on court to get the job done, and will face Sara Sorribes Tormo in the next round.
Data Debrief
This was Azarenka's first meeting with Maria, and her service game was excellent, with the Belarusian winning 63.2 per cent of her first-serve points. She also saved five break points, having offered up seven, and converted six going the other way.
Azarenka, who has won 10 WTA 1000 events, is 14 clear of next-best Simona Halep (186) on the list of women with the most WTA 1000 match wins.
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