The Belgian was dispatched in 71 minutes, leaving the victorious Carreno Busta to face Aljaz Bedene in the third round Friday, after Bedene saw off defending champion Gilles Simon 7-6 (9), 6-2. Simon also won the tournament in 2010 and 2013.
Meanwhile, No. 2 seed Nikoloz Basilashvili achieved a 90-minute win against German qualifier Yannick Maden, 6-2, 7-6 (6), and the Georgian will next play France's Jo-Wilfried Tsonga, who defeated compatriot Pierre-Hugues Herbert 6-3, 6-4. Tsonga, like Simon, is a three-time Moselle Open winner, having lifted the trophy in 2011, 2012 and 2015.
Pouille comes up against Serbian Filip Krajinovic in the third round.