Elena Rybakina, the fourth seed in the women’s draw, will start proceedings on Chatrier at 10:00 BST when she takes on Elina Svitolina.
That will be followed by Australian Open champion Aryna Sabalenka’s meeting with American Emma Navarro.
Second seed Sabalenka and Kazakhstan’s Rybakina have both cruised through the tournament without dropping a set to date.
But the pair, who are seen as the main challengers to title favourite and two-time defending champion Iga Swiatek, will face a tougher test on Monday.
Ukrainian 15th seed Svitolina has a 2-1 win record against Rybakina, while Navarro, the 22nd seed, beat Sabalenka at Indian Wells in their first encounter earlier this year.
Italian 12th seed Jasmine Paolini and Russia’s Elina Avanesyan will kick the day off on Court Suzanne Lenglen.
Russian teenager Mirra Andreeva and French home hope Varvara Gracheva will compete for the last quarter-final spot.