British players Heather Watson and Dan Evans both had their first-round matches at the Cincinnati Masters suspended by rain on Monday.
Watson, 29, was 3-2 down in the second set after claiming the first against fellow qualifier Aliaksandra Sasnovich when play was stopped.
Evans, 31, lost the first set 6-2 to 10th seed Diego Schwartzman of Argentina before the rain hit.
Andy Murray is also due to face Richard Gasquet on Monday.
The 34-year-old three-time Grand Slam winner, who pulled out of the individual event at the Olympics with a minor thigh strain, has been given a wildcard to compete in the event.