Karolina Pliskova can overtake Angelique Kerber at the top pf the WTA Rankings if she advances to the final at Roland Garros, while Simona Halep can move to No.1 if she wins the title.
Elina Svitolina will make her Top 5 debut after Roland Garros.
Caroline Garcia is into the first Grand Slam quarterfinal of her career;she has reached the third round but no further at all the other Slams: at 2014 Wimbledon (where she lost to Ekaterina Makarova), at the Australian Open in 2015 (where she lost to Eugenie Bouchard) and 2017 (where she lost to Barbora Strycova), and 2016 US Open (where she lost to Agnieszka Radwanska).
Garcia is one-half of the reigning women’s doubles champions at Roland Garros; she and Kristina Mladenovic were the first French pair to win the title at Roland Garros since 1971, when Gail Chanfreau and Francoise Durr triumphed.
Pliskova is the No.2 seed this fortnight – her highest seeding at a Grand Slam.
She faces Frenchwoman Garcia today – and boasts a 3-1 record at Grand Slams against French players, defeating Océane Dodin (2014 Australian Open), Mathilde Johansson (2014 Roland Garros) and Océane Dodin (2015 Australian Open). Her sole loss came to Marion Bartoli at the 2012 French Open.
Svitolina is seeded No.5 in Paris – her highest at a Slam (up from No.11 at the 2017 Australian Open).
Svitolina faces World No.4 Halep today – and has a perfect 5-0 record against Top 5 players this season.
Halep reached her sole Grand Slam final in Paris, when she finished as runner-up to Maria Sharapova in 2014.
Did you miss any of Tuesday's quarterfinal drama? WTA Insider Courtney Nguyen has you covered with the Notebook.
At Tennis.com, Steve Tignor assesses Jelena Ostapenko's run of success on clay.
French Open semifinalist Timea Bacsinszky talks about her special relationship with Paris.