There are a number of potential candidates to take Simona Halep's French Open crown, but the defending champion is focused on herself.
Stan Wawrinka and Marton Fucsovics will not add to past Geneva Open titles this year after crashing out in the round of 16.
Rain earlier in the week meant there was plenty of WTA Tour action on Wednesday, with Aryna Sabalenka advancing in Strasbourg.
It was a miserable day at the Internationaux de Strasbourg, as top seed Ashleigh Barty pulled out and rain arrived.
Grigor Dimitrov lost in the first round of the Geneva Open, but Alexander Zverev is already into the last eight.
Samantha Stosur will go up against Dayana Yastremska – who beat her in the 2019 Australian Open – at the Internationaux de Strasbourg.
A pair of seeds exited at the Geneva Open on Monday, while Grigor Dimitrov's match with Federico Delbonis was postponed.
Reigning champion Simona Halep has a slight edge over her competitors heading into the French Open, according to Justine Henin.
Jimmy Connors holds the record for most consecutive weeks in the top 10, but Rafael Nadal has moved ahead of Roger Federer.
Rafael Nadal is the "number one favourite" for the French Open, according to Novak Djokovic.