Second seed Caroline Garcia has cruised into the second round at Eastbourne after beating American Madison Brengle 6-1 7-5.
Former Wimbledon and US Open finalist Ons Jabeur also made it into the final 16 of the Wimbledon warm-up event after seeing off Italy's Jasmine Paolini 6-3 6-2 on Tuesday.
Petra Kvitova, the defending champion, withdrew citing fatigue.
Last year's runner up Jelena Ostapenko set up a next-round clash with Harriet Dart after she took down lucky loser Barbora Strycova, who had replaced the absent Kvitova, 6-4 6-3.
World No.7 Coco Gauff will play Jodie Burrage in round two after she cruised past fellow American Bernarda Pera 6-3 6-2.
Beatriz Haddad Maia battled back to triumph 3-6 6-3 7-6 (3) against Marie Bouzkova. She will next face Croatian Petra Martic.
Garcia will play next against Romanian player Ana Bogdan while Jabeur will face Italian Camila Giorgi.