A resounding 6-4 6-1 win over Kasatkina saw Andreescu advance to the last four of a WTA Tour grass-court tournament for the first time.
The last time she reached the semi-finals in any event was the 2021 Miami Open, where she finished as runner-up after retiring with an ankle injury in the second set of the final against Ash Barty.
Andreescu limited Kasatkina to just 17.6 per cent of the points behind the Russian's second serve and saved four of the six break points she faced to book a meeting with Simona Halep.
Former world number one Halep sent down 10 aces and converted all three of the break points that came her way in a 6-2 6-1 success over Amanda Anisimova.
The other semi-final will be an all-French affair after Alize Cornet and Caroline Garcia downed home hopes Angelique Kerber and Sabine Lisicki respectively.
After going all the way in Nottingham and Birmingham this month, Haddad Maia progressed to the semi-finals of the Eastbourne International courtesy of a walkover against Lesia Tsurenko.
Next up for Haddad Maia is Petra Kvitova, who she beat in straight sets in the first round in Birmingham, after the Czech ended Harriet Dart's run to the quarter-finals with a 6-3 6-4 win.
Jelena Ostapenko cruised to a 6-3 6-2 victory against Anhelina Kalinina and will take on Camila Giorgi for a place in the final. Giorgi comfortably overcame lucky loser Viktoriya Tomova 6-2 6-1 in 64 minutes.
His fellow defending champion, Aryna Sabalenka, routed Lesia Tsurenko 6-0 6-0 while 16-year-old Mirra Andreeva recovered from 5-1 down in the deciding set to beat Diane Parry.
It was generally a good day for the big names, with Coco Gauff, Jannik Sinner and Stefanos Tsitsipas also winning.
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Women: Beatriz Haddad Maia (10), Lesia Tsurenko (28)
Men: Ben Shelton (16), Sebastian Baez (26), Sebastian Korda (29), Tomas Martin Etcheverry (30)
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Britain’s final singles hope, Cameron Norrie, takes on Casper Ruud for a place in the fourth round.
Chinese players take centre stage in the day on Rod Laver Arena, with Zheng Qinwen meeting Wang Yafan before Shang Juncheng faces Carlos Alcaraz.
Iga Swiatek is first up in the night session against Czech teenager Linda Noskova, while Daniil Medvedev meets Felix Auger-Aliassime.
Seventh seed Kasatkina had no answers in Stuttgart as she fell to a 6-1 6-1 defeat against Badosa, who recorded the ninth top-10 victory of her career and first in exactly 12 months.
Badosa has won 29 clay-court matches in the last three seasons – only Ons Jabeur (35) and Iga Swiatek (30) have won more – but the Spaniard had to enter this tournament as a wildcard.
The 25-year-old was as high as second in the world last year but has fallen to 31st, and she outlined her goal to reach the top once more after her first-round win set up an all-Spanish meeting with Cristina Bucsa.
When asked about her ambitions to return to the world's top three, Badosa said: "That's what I'm working on every day. That's one of my goals – I want to be back on the top.
"I like to play big matches, I like to be in the last rounds of the tournaments. I still know I have that level. I still know I was that player. I still believe in myself, and I hope I'm back there very soon."
Jelena Ostapenko eased into the second round with similar dominance after downing Raducanu 6-2 6-1 in just 58 minutes, teeing up a meeting with world number four Ons Jabeur on Wednesday.
Latvian Ostapenko powered 19 forehand winners and went unbroken, acknowledging in her on-court interview that familiar aggression was key to her success in the battle of two one-time grand slam winners.
"I knew against her the main thing was to step in the court," said former French Open winner Ostapenko. "I missed some balls, but I tried to be aggressive all the time when it was possible.
"Just try to take the ball early, don't give her many chances. And finally, I'm back on clay, my favourite surface."
Barbora Krejcikova was another straight-sets winner, scoring a 6-2 6-0 triumph over Liudmila Samsonova, with the reward for the 2021 Roland Garros champion being a tricky clash against second seed and Australian Open winner Aryna Sabalenka.
There was no such ease for Anastasia Potapova in a battling 6-3 3-6 7-6 (7-4) victory over Petra Martic, the Russian's ninth third-set win in 2023 – no WTA Tour player has managed more.
Tatjana Maria overcame Ylena In-Albon 6-2 4-6 7-6 (7-4) in another enticing clash, while Beatriz Haddad Maia advanced after Martina Trevisan was forced to retire when trailing 7-5 1-1 due to a right thigh injury.
Despite making a strong start, fourth seed Pliskova faltered and lost 1-6 6-4 6-4 to the world number 127 in the pair's last-32 match.
Boulter said: "I'm super-proud of myself today. I went out there and didn't feel great on court, and I worked so hard to battle and fight, and against a player like that it means so much to me, coming through that."
There was another major shock win for a British player later in the day as Jodie Burrage knocked out top seed Paula Badosa, the world number 169 triumphing 6-4 6-3 against a player who will be seeded fourth at Wimbledon.
Defending champion Jelena Ostapenko beat Ajla Tomljanovic 6-4 6-4 and two-time Wimbledon winner Petra Kvitova saw off Donna Vekic 6-1 7-6 (7-1), while Beatriz Haddad Maia's strong form on grass continued with a 6-4 3-6 6-3 victory over Estonian veteran Kaia Kanepi.
Brazilian left-hander Haddad Maia is coming off the back of title wins in Nottingham and Birmingham and stretched her winning run on grass to 11 matches.
There were also wins in Eastbourne for Camila Giorgi, Madison Keys and Barbora Krejcikova, but Greek third seed Maria Sakkari bowed out, losing 3-6 7-5 6-4 to Ukrainian Anhelina Kalinina.
At the Bad Homburg Open in Germany, the 2019 Wimbledon champion Simona Halep scrambled for a 4-6 6-3 6-4 win against Katerina Siniakova, and sixth seed Amanda Anisimova came from a set down to see off Alison van Uytvanck in a third-set tie-break.
Bianca Andreescu saw off Martina Trevisan 6-3 6-1 and Angelique Kerber also won in straight sets, while top seed and recent French Open semi-finalist Daria Kasatkina reached the quarter-finals with a 6-1 3-6 6-1 win over Germany's Jule Niemeier.
Kasatkina will be absent from Wimbledon due to the ban on Russian players.
Having already recorded her best tour-level run on grass by reaching the final eight, Gauff recorded a superb 7-5 6-4 win over two-time grand slam finalist Pliskova.
Gauff – who reached her first grand slam final at Roland Garros last month, saved four set points in the opener before roaring to victory in one hour and 37 minutes, and was delighted to have overcome a tough opponent in the world number seven.
"I'm super happy with how I played today," Gauff said on court after the win. "Playing her on grass, with her serve, how flat she hits the ball, it was really tough to be honest.
"A first semi-final on grass is pretty cool, and also I feel like the opponents I've played this week haven’t been easy, especially today, so I'm proud of myself about that."
Gauff will face Jabeur for a spot in the final after the Tunisian fought back from one set down in a 6-7 (3-7) 6-2 6-2 win over Aliaksandra Sasnovich, who entered the contest having won 26 matches during an impressive year.
The other semi-final will see Maria Sakkari face Belinda Bencic, after the world number six cruised to a 6-0 6-3 win over Daria Kasatkina and Bencic beat Veronika Kudermetova 3-6 6-3 6-3.
In the Birmingham Classic, meanwhile, Simona Halep raced to a 6-4 6-1 win over Katie Boulter to reach the final four, but third seed Camila Giorgi fell to a 6-3 6-2 loss to Brazil's Beatriz Haddad Maia, who has now won eight consecutive games on grass.
While that pair will face off in one of Saturday's semi-finals, eighth seed Zhang Shuai will face Sorana Cirstea in the other. Zhang overcame Dayana Yastremska 7-5 6-4 and sixth seed Cirstea beat Donna Vekic 5-7 6-3 6-4.
American Keys, seeded fourth, surged clear of China’s Wang Xinyu in a dominant second set to prevail 7-5 6-0, only being broken once in the match.
Haddad Maia, meanwhile, fought back from losing the first three games to defeat Emma Navarro 6-4 7-6 (7-1) in a keenly contested battle.
Second seed Haddad Maia will face Liudmila Samsonova in the last eight, while Keys will take on either Ekaterina Alexandrova or Magda Linette at the WTA 500 event.
Top seed Marketa Vondrousova and two-time tournament winner Elina Svitolina are among the other players due to play later on Wednesday.
Data Debrief: Haddad Maia shows resilience
The battling win for Haddad Maia lasted two hours and 16 minutes, with Navarro pushing the Brazilian all the way.
Navarro forced 17 break points on Haddad Maia’s serve across the two sets and converted six of them, but still fell to defeat.
Haddad Maia now leads the head-to-head against Navarro 2-1, having also beaten her at the Madrid Open last month as part of her run to the last eight in Spain.
Haddad Maia enjoyed a fine day, beating second seed and two-time major champion Simona Halep 6-3 2-6 6-4 in a rearranged semi-final (postponed from Saturday due to rain).
Zhang followed that up by battling past Halep's Romanian compatriot Sorana Cirstea 4-6 6-1 7-6 (7-5), setting up a second career match with Haddad Maia.
The Brazilian struggled in the opening stages, with Zhang racing into the lead before squandering an opportunity to go 3-0 up.
Haddad Maia soon recovered to level at 3-3 before Zhang was forced to retire with an apparent neck injury, with the Chinese player 5-4 down in the first set.
That handed the world number 32 her second straight title after success at the Nottingham Open last week, with Ons Jabeur and Iga Swiatek the only others to record multiple WTA Tour triumphs this year.
Haddad Maia also became the first Brazilian lift the trophy in the tournament's 40-year history, surpassing the previous best result by a player from Brazil when Gisele Miro made the second round in 1989.
A back-and-forth contest ultimately turned in the Brazilian's favour as she recovered from a dominant second set from her American opponent to claim the decider and the trophy.
Haddad Maia made a strong start, and took the first set 6-4 after winning 90 per cent of points on her first serve (18 of 20).
Sixth seed Riske came out fighting in the second set, though, breaking in the second game before saving three break points on her own serve, and then breaking for a second time, racing out to a 5-0 lead.
Riske made just five unforced errors in the second set to claim it 6-1 and send the final into a decider.
Seventh seed Haddad Maia was being made to work hard at the start of the third and was broken again by Riske in the third game, but this time was able to break straight back.
Haddad Maia was angered by a line call that went against her in the seventh game, but she used it to find another level, breaking Riske again to take a 5-3 lead, before serving out to seal her maiden WTA singles title.
"It was just amazing. I never expected people here [in Nottingham] cheering for me so thanks a lot for making it special for me," Haddad Maia said in her on-court interview after the win.
"[Riske] improved her game so I tried to stay concentrated... I'm very happy that I was fighting with myself so I could get this trophy.
"It's crazy because I never thought my first [singles title] would be on grass.
"I came here to fight and to win this title, and Nottingham for sure will always be in my heart."
The Romanian was a 6-3 2-6 6-3 victor, dropping a set for only the second time in the week, but standing firm in the clash that clocked in at over two hours.
That meant records for Haddad Maia, who has played the most WTA-level matches with three sets in 2022 (20) and spent over 12-and-a-half hours on the court at the Canada Open in 2022, more than any other player in a single WTA tournament this year.
Wimbledon semi-finalist Halep proved to be a step too far for the Brazilian, however, with the win marking her most significant honour since winning in Rome in 2020.
It was far from a vintage performance from the 30-year-old, who had nine double-faults in the match compared to Haddad Maia's two and left the door open for the South American - who was vying for victory in her first ever WTA 1000 event.
Halep had already clinched a return to the world top 10 by reaching the final in Toronto, the first time since her 373-week stint ended just over a week ago - which led to admissions that she considered calling it quits amid her decline.
A valiant comeback in 2022 has been one of the major stories of the calendar year though and, on the back of victory in Canada and a semi-final march at Wimbledon, will have high hopes for the U.S. Open.
Halep defeated 10th seed Gauff, who had beaten Naomi Osaka, Elena Rybakina and Aryna Sabalenka this week, in one hour and 47 minutes.
The Romanian 15th seed was broken five times and sent down eight double faults, but found the edge with speed, finesse and power.
The win means Halep has won the third most matches (36-10) on the WTA Tour this season, behind only top-ranked Iga Swiatek (49) and Wimbledon finalist Ons Jabeir (37).
Halep's improved form comes after she teamed up with Serena Williams' ex-coach Patrick Mouratoglou in April following a difficult 2021 season.
"Before I met him I was super down with my motivation," Halep told reporters. "I couldn't really work, keep working. I was almost done with tennis. He brought this fire back and the motivation. He trusted that I still can play good tennis and he transferred this to me."
The 2018 French Open and 2019 Wimbledon champion added: "Physically I'm good. Mentally I'm good, so I think it's all positive."
Halep, who won the Canadian Open in 2018, has reached the semi-finals for the fifth time in her career where she will take on seventh seed Jessica Pegula.
Pegula got past Yulia Putintseva 6-3 6-3 in one hour and 21 minutes. Qualifying for the last four at the Canadian Open for the second straight year.
Brazilian Beatriz Haddad Maia maintained her Canadian Open run, having ousted Swiatek in the third round and local favourite Leylah Fernandez in the second, with a 2-6 6-3 6-3 victory over Tokyo Olympics gold medalist Belinda Bencic in two hours and 11 minutes.
Haddad Maia became the first Brazilian to reach the semi-finals of a WTA 1000 tournament. She will face Karolina Pliskova in the semi-finals after the Czech 14th seed beat Qinwen Zheng 4-6 6-4 6-4.
The top seed donned the yellow and blue colours of her homeland for Tuesday's match and eased to a 6-2 6-1 victory in a little over an hour in Mexico.
Svitolina only agreed to play her opener after tennis authorities announced a ban on Russian and Belarussian players competing under the name and flags of their countries.
And as Russia's invasion of Ukraine entered its sixth day, the 27-year-old produced an impressive performance that saw her win 73.5 per cent of her first-serve points.
Former world number three Svitolina, who will now face Bulgarian qualifier Viktoriya Tomova, had previously announced she will donate her prize money to the Ukrainian army.
"It's a special one because of what we are going through right now in Ukraine, it's terrifying," Svitolina told reporters.
"It's been six days and all the Ukrainian tennis players and Ukrainians who are there, we have been really terrified with what is happening.
"For me, playing the match here, I'm not playing only for myself. I'm playing for my country, I'm playing for the help of the Ukrainian army and people in need.
"I was focused. I was on a mission for my country. From the beginning, it was important to be ready for anything that comes my way."
Petra Martic is also through to round two after recovering from behind to beat third seed Madison Keys 4-6 7-6 (7-3) 6-3.
Marie Bouzkova awaits following the world number 81's 4-6 6-2 6-4 win against Sara Errani. Number eight seed Ann Li's participation in the tournament came to an end with a 6-2 6-1 loss to Wang Xinyu, who will now face Brazil's Beatriz Haddad Maia.
The in-form Wang made life difficult for top seed Kontaveit initially, impressively taking the first set against the world number four.
Kontaveit then appeared to be cruising to victory when she took the second set 6-2 and found herself 5-1 up in the third, but Wang staged something of a revival.
Wang won four games on the trot to stun Kontaveit, only for the 21-year-old to lose her nerve as her opponent broke again and then served out the match 3-6 6-2 7-5, taking her through to face Tereza Martincova.
Beatriz Haddad Maia was also caused problems by a Chinese player, with Xinyu Wang taking the third seed to three sets.
Haddad Maia took the first set fairly comfortably but was blown away in the second before her composure returned in the decider, winning 6-3 1-6 6-4 to also progress to the last 16.
The other seed in action on Tuesday was Jil Teichmann, and she had no such issues seeing off Laura Siegemund 6-4 7-6 (9-7), although the day's most impressive win saw Donna Vekic thrash Maileen Nuudi 6-2 6-0.
At the Parma Ladies Open, second seed Martina Trevisan was stunned 7-5 6-0 by Sara Sorribes Tormo.
It was a bad day for seeds throughout the draw in Italy. Anna Bondar (fifth), Nuria Parrizas Diaz (seventh) and Lucia Bronzetti (eighth) all lost in straight sets.
Third favourite Irina-Camelia Begu did buck that trend, however. She benefited from Viktoriya Tomova retiring, although the Romanian was already a set and 5-1 up.
Sixth seed Kudermetova showed great defiance to defeat American Collins 4-6 7-6 (7-5) 6-1 on Thursday.
Kudermetova fended off five match points when serving to stay in the tournament at 6-5 down in the second set and duly forced a tie-break.
Collins, runner-up to Ash Barty in the Australian Open final last year, took a 3-0 lead in the breaker, but back came her Russian opponent to level the match.
The world number nine dominated the deciding set to seal a meeting with Bencic in the last four.
Eighth seed Bencic got the better of WTA Finals champion Garcia 6-2 3-6 6-4.
Garcia broke straight back after going 3-1 down in the final set, but Bencic broke for the fourth time in the match to go through.
Paula Badosa and Daria Kasatkina will contest the other semi-final after beating Beatriz Haddad Maia and Petra Kvitova respectively.
Elisabetta Cocciaretto saved two match points as she came from a set down to beat Bernarda Pera 5-7 7-6 (10-8) 6-4 in the quarter-finals of the Hobart International.
The 21-year-old Italian will now face 2020 Australian Open champion Sofia Kenin, who also stormed back to defeat Anhelina Kalinina 4-6 6-3 6-1.
Lauren Davis and Anna Blinkova will do battle in the other semi-final following wins over Wang Xinyu and Yulia Putintseva respectively.
Two-time Wimbledon winner Kvitova hit 21 winners to 12 unforced errors on her way to a 6-3 7-5 win against reigning SW19 champion Rybakina in a match lasting 87 minutes.
Belinda Bencic, a defeated finalist in this tournament in 2021, also advanced with a 6-3 6-4 win against former world number one Garbine Muguruza to maintain her positive form.
Fellow seeded players Beatriz Haddad Maia and Danielle Collins beat Sorana Cirstea and Karolina Pliskova respectively to book their places in the last 16.
At the Hobart International, favourite Marie Bouzkova saw off Jacqueline Cristian 7-6 (7-2) 6-3, while Lauren Davis defeated Sloane Stephens 6-2 6-2 in an all-American clash.
World number 26 Camila Giorgi battled from a break down in both sets to beat fifth seed Muguruza 7-5 6-3 in an hour and 53 minutes.
That meant 12th seed Giorgi made her second straight quarter-final, following a last-eight appearance in Birmingham, and will next face Viktoriya Tomova, who defeated Kirsten Flipkens 3-6 6-3 6-4.
Jil Teichmann, the 10th seed at the tournament, was a notable second-round elimination, falling to a 7-6 (9-7) 4-6 6-3 defeat to Briton Harriet Dart, who later triumphed 6-4 2-6 6-4 over Marta Kostyuk.
Dart's fellow Briton Katie Boulter stunned last year's Wimbledon runner-up Karolina Pliskova in the second round but had no such luck against Petra Kvitova, losing 5-7 6-0 7-5.
Beatriz Haddad Maia, the winner at the Birmingham Open last week, extended to a 12-match winning streak with a 6-1 6-2 victory over Jodie Burrage.
Jelena Ostapenko also progressed after Madison Keys retired when 6-3 down and will next face Anhelina Kalinina, who battled to a 6-3 2-6 6-3 win over 16th seed Yulia Putintseva.
While seeds fell at Eastbourne, there were not as many shocks at the Bad Homburg Open, where Angelique Kerber defeated Lucia Bronzetti 6-2 6-3 to reach the quarter-finals.
Fourth seed Simona Halep also made the last eight with 6-0 6-3 victory over Tamara Zidansek and will meet Amanda Anisimova after she won an All-American match against Ann Li 6-0 6-2.
Alize Cornet downed Tatjana Maria 7-6 (7-4) 6-4 to tee up a clash with Kerber, while Bianca Andreescu will meet top seed Daria Kasatkina after defeating Katie Swan 6-4 6-4.
Four-time grand slam champion Osaka won the opening game, before Saville was unable to continue due to a scary-looking injury to her left knee.
The former world number one will now face a second round match with world number 16 Beatriz Haddad Maia, who eased to a straight sets victory over Yuki Naito.
Karolina Pliskova secured her place in the next round in Tokyo with a 6-2 6-1 demolition of Isabella Shinikova, while Zhang Shuai will face second seed Caroline Garcia on Wednesday after overcoming Mai Hontama in two sets.
In Seoul, Jelena Ostapenko's hopes of repeating her 2017 heroics at the Korea Open are still alive after the number one seed narrowly beat 19-year-old Jeong Bo-young.
The world number 19 looked to be cruising after the opening set, but the unheralded South Korean hit back in the second and took it to a tie-break in the third, before Ostapenko's class showed as she won the crucial tie-break 7-2.
Elsewhere, 2021's beaten finalist Kristina Mladenovic saw off wildcard Park So-hyun 6-4 4-6 6-3, while second seed Ekaterina Alexandrova overcame a worrying second set to beat Asia Muhammad 6-1 3-6 6-1.
Wimbledon semi-finalist Tatjana Maria is also safely through to the second round after a tight 7-6 (7-5) 7-6 (7-5) triumph over Eugenie Bouchard.
The former world number one, who won the Tokyo tournament when it was last held in 2019, was unable to compete in Thursday's match due to illness.
"I am really sorry that I am not able to compete today," Osaka said. "It's an honour to be able to play at the Pan Pacific Open in front of the amazing fans here in Japan.
"This has and always will be a special tournament for me and I wish I could have stepped on court today, but my body won't let me."
Haddad Maia advanced on a walkover and will next face fourth seed Veronika Kudermetova, who defeated Mexican qualifier Fernanda Contreras Gomez 6-0 6-1 to reach the quarter-finals.
Liudmila Samsonova also progressed to the last eight, with a 7-6 (7-5) 6-3 win over Wang Xinyu continuing her good form.
However, sixth seed Karolina Pliskova exited the competition on Thursday at the hands of Petra Martic, who prevailed 6-3 6-4 and will face Zhang Shuai next.
At the Korea Open, top seed Jelena Ostapenko recovered from two games down in the deciding set to overcome Anastasia Gasanova 6-3 5-7 7-5.
Ostapenko remains on a possible semi-final collision course with Emma Raducanu, who came through 6-4 7-5 against Yanina Wickmayer, while Magda Linette saved two match points to beat Kristina Mladenovic 4-6 7-6 (7-5) 6-2.
Ostapenko looked to be cruising after winning the opener, but Kanepi levelled in the second despite the Estonian watching five set points come and go.
Kanepi then romped to victory with a stunning final set to defeat Ostapenko 4-6 6-4 6-0 and keep her hopes of winning her home tournament alive.
In second-round action, Beatriz Haddad Maia is through to the quarter-finals after a 6-1 7-5 success over Linda Noskova.
After Haddad Maia cruised to a one-set lead, the second was a much tighter affair before the Brazilian's class showed as she broke Noskova and then held serve to earn a straight-sets win.
Second seed Belinda Bencic also secured her place in the final eight with a 6-4 6-7 (2-7) 6-3 triumph over Katie Boulter.
At the Parma Ladies Open, top seed Maria Sakkari came from behind to beat Arantxa Rus and seal her quarter-final spot.
Rus saved five out of five break points as she won the opening set 6-3 to give her hope of an upset.
Those hopes were soon dashed though as world number seven Sakkari broke twice to take the second set 6-2, before clinching the match in the third to tee up a clash with Maryna Zanevska.
World number 33 Irina-Camelia Begu made it 12 consecutive wins on clay by overcoming Matilde Paoletti in straight sets and will face fellow Romanian Ana Bogdan in the next round after she beat Anna Karolina Schmiedlova 6-2 3-6 6-3.
Fourth seed Sloane Stephens saw her tournament come to an end after she was defeated by Danka Kovinic.
Pegula, who is the second-highest seed remaining in the field after Iga Swiatek's withdrawal, had no issue dispatching Canada's Katherine Sebov 6-3 6-1 in just 66 minutes.
Gauff, the six seed, followed suit as she raced to a 6-4 6-3 win over Canadian Rebecca Marino in just 73 minutes.
Florida's own Danielle Collins thrilled her hometown crowd with a 7-6 (7-3) 6-2 triumph against Bulgaria's Viktoriya Tomova, and rising 22-year-old talent Clare Liu made it a perfect 4-0 sweep for the USA representatives by defeating Julia Grabher 6-4 6-3.
Last week's Indian Wells Open champion Elena Rybakina was made to work in her 7-5 4-6 6-3 win over Anna Kalinskaya, while an even more gruelling effort was required in Paula Badosa's two-hour-and-52-minute 7-6 (7-2) 4-6 6-2 result against Laura Siegemund.
The top seed to fall on Thursday was eighth seed Daria Kasatkina, as she won the first set before going down 4-6 6-2 6-2 against Elise Mertens.
Liudmila Samsonova, the 12th seed, made light work of Viktorija Golubic in a 6-1 6-1 drubbing, and 22nd seed Jelena Ostapenko prevailed 6-3 6-4 against Mirjam Bjorklund.
Ostapenko will next play 13th seed Beatriz Haddad Maia after she won a strange back-and-forth contest 7-6 (7-4) 0-6 6-0 over Tereza Martincova.
The Canadian second seed, who reached last year's US Open final, comfortably accounted for Brazilian Beatriz Haddad Maia 6-1 6-4 on Saturday.
Fernandez triumphed in one hour and 12 minutes, even as Haddad Maia took a medical timeout in the second set.
The 2021 US Open runner-up was exceptional on first serve, making 77.6 per cent, while she was not broken once throughout the match, taking three of her four break points.
Colombian fifth seed Osorio defeated sixth seed Nuria Parrizas Diaz 6-4 6-4 in one hour and 29 minutes.
Osorio's triumph means she qualifier for her third WTA Tour singles final, having claimed her only title in Bogota last year.