Anastasia Pavlyuchenkova defeated Karolina Pliskova 7-6, 7-6 to win her third round fixture and set up a clash with Angelique Kerber.
Serena Williams won her first title since 2017 on Sunday after she won the ASB Classic in Auckland.
The second-ranked Pliskova is the first player, male or female, to win the Brisbane-based event three times after wins here in 2017 and last year.
Barty, like Svitolina, dropped the opening set of her semifinal before beating second-ranked Karolina Pliskova of Czech Republic 4-6, 6-2, 6-3.
In the semifinals, Pliskova will take on top-ranked Ash Barty — Australia's first female year-end No. 1.
Simona Halep saved a match point before beating Bianca Andreescu 3-6, 7-6, 6-3 while Elina Svitolina defeated Karolina Pliskova 7-6, 6-4.
Croatia's Petra Martic beat Pliskova in straight sets to enter the final 16 of Roland Garros.
Pliskova needed one hour and 25 minutes to defeat Konta 6-3, 6-4 and win her first ever trophy at the Foro Italico.
There still has not been a repeat champion this year among the men or women.
The day's winners were Federer, Shapovalov, Barty, Pliskova and the rain.
Kei Nishikori defeated Daniil Medvedev 6-4 3-6 6-2 while Karolina Pliskova got the better of Lesia Tsurenko 4-6 7-5 6-2 to win the men's singles and women's singles Brisbane International titles respectively.
Pliskova, who advanced from her group for the second straight year, beat Kvitova 6-3, 6-4 to improve her record to 2-1 at the season-ending tournament.
Pliskova broke Osaka for a second time to go up 5-4 in the second set and then hammered her sixth ace to secure her 11th career title.
Bertens hit seven aces and saved eight of the 10 break points she faced to win 6-3, 7-6 (2) and complete the latest upset in the women's draw.
Sharapova has won two of her five Grand Slam titles at Roland Garros and is now into the fourth round for the 12th time in 14 appearances at the clay-court major.
Nadal, a seven-time Rome champion, routed 31st-ranked Damir Dzumhur 6-1, 6-0.
Pliskova's only prior victory from a previous seven matches against Halep was in the 2016 Fed Cup.
The sixth-seeded Czech held her nerve at key times to win her first title of the season and her 10th overall in just under two hours.
Kerber did not face any break points during the clash of former world No. 1s that lasted one hour and 14 minutes.
Former world number one Novak Djokovic, who is making a comeback after a six-month layoff due to a tennis elbow injury, is ranked 14 in the first major of the season.
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