Britons Emily Appleton and Amarni Banks progressed to the second qualifying round in the women’s draw.
Appleton, 25, completed a comeback victory over Swiss player Simona Waltert, winning 6-7 (4-7) 6-4 6-3 to set up a meeting with Czech player Barbora Palicova.
The 22-year-old Banks also went the distance in a 6-4 1-6 6-3 victory over Austria’s Julia Grabher.
But Katie Swan, Yuriko Miyazaki, Ella McDonald, Ranah Akua Stoiber, Amelia Rajecki and Katy Dunne all lost their respective matches.
Swan lost 7-6 (7-2) 7-6 (8-6) to Spain’s Leyre Romero Gormaz, while Miyazaki forced a third set but eventually fell 6-4 4-6 6-2 to Russian Oksana Selekhmeteva.
McDonald lost 4-6 7-5 6-1 to Latvia’s Darja Semenistaja, Stoiber was beaten by Poland’s Katarzyna Kawa 5-7 6-4 6-1 and Rajecki exited in a 7-6 (8-6) 7-6 (7-2) defeat by Belarusian Iryna Shymanovich.
Dunne, meanwhile, lost out 6-4 6-3 to experienced French player Alize Cornet, who came out of retirement this year.
Wimbledon, the third Grand Slam of the year, begins on 30 June.