Kyle Edmund reached the second round of the Nottingham Open with a 6-4 6-3 win over Czech Lukas Rosol.
The British number three converted two of his seven break points - one in each set - to set up a second-round tie with Ukrainian world number 32 Alexandr Dolgopolov.
Edmund's compatriot James Ward, the world number 177, lost 6-1 3-6 6-4 to Tunisia's Malek Jaziri.
Canadian Frank Dancevic beat Briton Alexander Ward 7-6 (7-3) 6-7 (3-7) 6-2.
Australia-born Briton Brydan Klein was beaten 7-5 6-4 by France's Stephane Robert.
On Sunday, British number four Dan Evans beat compatriot Liam Broady. He will play Lithuania's Ricardas Berankis in the second round.