British number four Aljaz Bedene lost in the second round of the Open 13 in Marseille to Frenchman Lucas Pouille.
The number four seed and world number 17 won 7-5 7-5 to set up a quarter-final with Jan-Lennard Struff or Daniil Medvedev.
World number 102 Bedene, 27, had beaten another Frenchman, Paul-Henri Mathieu, in the first round.
Meanwhile, British number two Kyle Edmund's match at the Delray Beach Open was delayed because of rain in Miami.
The 22-year-old is due to begin his second-round match with Lu Yen-hsun of Taiwan at 23:00 GMT.