Elina Svitolina stands between Elena Rybakina and a second WTA Tour triumph of the year at the Internationaux de Strasbourg.
In-form two-time grand slam champion Simona Halep feels confident she can add a third major to her tally in Paris.
A daily draw will determine those spectators with tickets who will be allowed into Roland Garros due to new government rules.
Naomi Osaka is not at the French Open, giving her rivals the opportunity to stake their own claims as the next Serena Williams.
The semi-finals line-up in Strasbourg will not be completed until Friday, with the last quarter-final suspended due to rain.
Dominic Thiem and Serena Williams have potentially testing routes to the French Open final after Thursday's draw.
Katerina Siniakova is next up for Aryna Sabalenka, who overcame Anna Blinkova at the Internationaux de Strasbourg.
After withdrawing from the French Open, Bianca Andreescu has confirmed she will not feature on the WTA Tour in 2020.
Elina Svitolina will face Jil Teichmann in the Internationaux de Strasbourg quarter-finals after overcoming Magda Linette on Tuesday.
Aryna Sabalenka cruised past Ellen Perez in Strasbourg, subsequently confirming she had decided against taking on coach Dieter Kindlmann.