James Ward went out in the second round of French Open qualifying with a three-set defeat by Sweden's Christian Lindell.
The British number three was two points from victory in the second set but lost 3-6 7-6 (7-5) 6-2.
Compatriot Liam Broady went down 6-7 (5-7) 7-6 (7-2) 6-2 to Moldova's Radu Albot in round one.
In the women's draw, Jo Konta and Naomi Broady both won their first-round matches.
Konta, the British number two, beat Serb Jovana Jaksic 6-0 6-3, before Broady saw off Cagla Buyukakcay of Turkey 6-1 7-6 (7-4).
They will play their second-round matches on Thursday, along with fellow Britons Brydan Klein and Kyle Edmund in the men's draw.