Cameron Norrie was the first Briton to reach the second round at this year's French Open after beating American Bjorn Fratangelo in straight sets.
The British number two won 7-5 7-6 (7-5) 6-2 against qualifier Fratangelo and will play South African Lloyd Harris or Italian 26th seed Lorenzo Sonego next.
Earlier, compatriot Heather Watson made a first-round exit with a straight-set defeat by Kazakhstan's Zarina Diyas.
Watson - yet to progress beyond the second round in Paris - lost 6-4 7-5.
Watson's loss leaves Johanna Konta as the only Briton remaining in the women's singles draw at Roland Garros.