There were defeats for Jay Clarke and Harriet Dart in the second round of qualifying in Paris, while British number three Jan Choinski withdrew before his match against France’s Pierre-Hugues Herbert.
Clarke lost 6-4 6-3 to 382nd-ranked Frenchman Thomas Faurel before Dart was beaten 6-1 6-4 by Spain’s world number 159 Leyre Romero Gormaz.
Former world number four Bianca Andreescu and two-time major finalist Karolina Pliskova were also beaten in qualifying.
Canada’s Andreescu, the 2019 US Open champion, fell to a 6-7 (2-7) 6-4 6-4 defeat against Slovakia’s Viktoria Hruncakova.
Czech 34-year-old Pliskova, runner-up at Wimbledon in 2021 and the 2016 US Open, lost 6-3 6-2 against Spain’s Marina Bassols Ribera.
But former US Open champion and 2018 Roland-Garros runner-up Sloane Stephens progressed to the final qualifying round with a 6-4 6-1 win against Italy’s Lisa Pigato.
Away from Roland Garros, British men’s number one Cameron Norrie suffered a second-round exit at the Geneva Open.
World number 22 Norrie, who received a first-round bye, lost 6-4 6-4 to 42nd-ranked Argentine Mariano Navone.