Serbia's Ivana Jorovic beat Magda Linette 6-3 6-2 to reach the second round of the Grand Prix de Sar La Princesse Lalla Meryem in Rabat.
World number 96 Jorovic will face top seed Elise Mertens or fellow Belgian Kirsten Flipkens.
Romania's Ana Bogdan beat France's Alize Cornet 6-3 6-3 and could face British number one Johanna Konta in the second round.
Konta, seeded seventh, will play China's Yafan Wang in her opening match.
Belgium's Alison Van Uytvanck, Swede Rebecca Peterson, Bulgarian Isabella Shinikova and Slovenia's Tamara Zidansek all progressed to the second round.
At the Prague Open, first-round matches get under way on Tuesday after rain delayed the qualifying rounds.
