Marcos Baghdatis failed to beat the Serbian Filip Krajinovic ranked 36 who won 7-6 6-4.
Marcos is pushing towards a return to the Top 100 of the ATP Rankings, defeated Viktor Troicki 7-5, 6-2 at the Dubai Duty Free Tennis Championships first round.
Marcos, who sits at No. 112 in the latest rankings, would have returned to the Top 100 had he had a second-round victory.
Young Greek Stefanos Tsitsipas progressed to the third round after beating German Philipp Kohlschreiber ranked 35 4-6 6-3 6-4. Stefanos is the current Greek No. 1. and a former junior No. 1. Tsitsipas has a career high ATP singles ranking of 80 achieved on 8 January 2018.
Tsitsipas is the son of a Greek father, Apostolos Tsitsipas and a Russian mother, former pro-tennis player Julia Apostoli. His grandfather, Sergei Salnikov, was a Soviet football player and manager.