Both players struggled to control on serve in a match which saw a total of 16 breaks, but it was the Belgian who advanced to a meeting with Britain's Heather Watson.
Watson, up to a career-high ranking of 79, continued her Wimbledon form to book her place in the second round with a 7-6 (7/5) 4-6 6-1 win over Sloane Stephens of the United States.
Sixth seed Chanelle Scheepers of South Africa beat American qualifier Grace Min 6-4 6-4 to secure an encounter with Portuguese qualifier Michelle Larcher de Brito, a 5-7 6-2 6-3 winner over Australia's Jarmila Gajdosova.
Finally lucky loser Coco Vandeweghe easily overcame Hungary's Melinda Czink 6-4 6-1.
The American will face fourth seed Jelena Jankovic in the next round.