Coco Gauff has a first-round bye, and will face either Shuai or Petra in her first match.
The final quarter sees No.2 seed Jessica Pegula at the very bottom of the draw, with a first-round bye. Pegula will meet either her fellow American Madison Keys or former Roland Garros champion Jelena Ostapenko in her first match.
No.6 seed Daria Kasatkina is also in the bottom quarter. Kasatkina will play a qualifier first up, with the winner of that match facing either Paula Badosa or Beatriz Haddad Maia in a tough second-rounder.