Garbine Muguruza, Victoria Azarenka and Angelique Kerber all sailed through at the bett1 Open on Tuesday as eighth seed Karolina Muchova crashed out in the first round.
The three former world number ones each made relatively light work of their opening clashes in Berlin, with Muguruza seeing off Sorana Cirstea 6-3 6-2.
Muguruza, the 2017 Wimbledon champion, expressed satisfaction with her performance on a return to the grass courts, with that part of the season wiped out in 2020 by the coronavirus pandemic.
"Very pleased," Muguruza said on court after going 24-8 on the season.
"You never know how it's going to go in the first match, especially on grass after two years, so I'm very excited to win in two sets against Sorana.
"We've played many times, and it's always difficult."
She will next face Elena Rybakina who, after beating Serena Williams en route to the French Open quarter-finals, came from a set down to see off Shelby Rogers.
Azarenka was a 6-4 7-6 (7-2) winner over Andrea Petkovic, and the two-time Australian Open champion will now face Kerber for a place in the last eight.
Kerber routed Misaki Doi 6-2 6-1 in a match that lasted only an hour but has lost nine of her previous 10 meetings with Azarenka.
The 2018 Wimbledon champion said: "I will try to play my game, and try to take another chance, and play as many matches as I can before I go to Wimbledon.
"It's another good match at a high level, and this is why I'm here. The draw is really strong, so it's good to have another good match."
Muchova, though, fell at the first hurdle. The Czech suffered an upset in the third round of the French Open at the hands of Sloane Stephens and lost in three sets in the German capital to Veronika Kudermetova after two hours and 27 minutes.
Elsewhere in the draw, there were wins for Petra Martic, Liudmila Samsonova and Jessica Pegula, whose opponent Hailey Baptiste retired in the first set.
Alcaraz begins Madrid Open campaign with emphatic win
Carlos Alcaraz continued his fine record at the Madrid Open with an emphatic 6-2 6-1 victory over Alexander Shevchenko on Friday.
The two-time defending champion made it 12 straight wins at his home tournament to ensure he will face Brazilian Thiago Seyboth Wild in the last 32.
Alcaraz was playing his first match on the ATP Tour since March 28 after being unable to compete in the Monte-Carlo Masters and Barcelona Open due to an arm injury.
But he was still able to make a fine start to his clay-court season, breaking serve in the first game and racing to victory in only one hour and eight minutes.
Data Debrief
Sometimes the scoreline can be harsh on a beaten player, but on this occasion Alcaraz was clearly dominant, breaking the Kazakh seven times in the match and forcing 11 break-point opportunities while conceding only three for his opponent.
That allowed the Spaniard to claim a dominant victory despite being broken once in each set. He will now turn his attention to a clash with Seyboth Wild, who battled past Lorenzo Musetti with a 6-4 6-4 win.
Reigning champion Sabalenka pushed by Linette at Madrid Open
Aryna Sabalenka got her Madrid Open campaign started with a 6-4 3-6 6-3 win over Magda Linette on Friday.
Sabalenka could not quite hit her peak form against Linette, but the world number two nevertheless got the job done after going the distance.
The Belarusian is hunting a record-equalling third title in Madrid, where she is the reigning champion, though she has not won back-to-back matches at a tournament since winning the Australian Open.
"It's not about being confident," Sabalenka said. "It's about how much you're ready to do to get it. It's about the hard work and to be ready, be ready for the big fights. I feel like confidence is not going to help you in those big matches. It's about staying there and fighting for it."
Data Debrief
Sabalenka (70 per cent, 56-24) is now one of five active players since 2020 to hold a winning percentage of 70 per cent or higher at WTA-1000 events.
Iga Swiatek, Simona Halep, Elena Rybakina and Jessica Pegula are the other players to feature on that list.
Rybakina continues clay winning streak with victory over Bronzetti
In-form Elena Rybakina has moved into the last 32 of the Madrid Open after a straight sets victory over Italian Lucia Bronzetti.
Number four seed Rybakina triumphed 6-4 6-3 on Friday and will next face either Marta Kostyuk or Mayar Sherif.
Rybakina was broken early in each set but ultimately had few problems getting over the line, converting four of her five break points to continue an impressive run of results after winning the Stuttgart Open last week.
She has now won five consecutive WTA matches and has 13 straight wins on clay courts to her name in a superb streak that started one year ago.
Data Debrief: Rybakina in elite company
Since the start of 2020, only two other players have claimed as many 13 consecutive WTA wins on clay, and they are Iga Swiatek and Simona Halep, so Rybakina is in elite company.
Rybakina's last defeat on this surface came in the 2023 edition of the Madrid Open, when she fell to Anna Kalinskaya in her first match, so this win represented a better start to her campaign in the Spanish capital.
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