Career
Bessat began his career with Football Club Toulouse and was in summer 2004 promoted in the reserve team After 32 games and 4 goals for the reserve of Football Club Toulouse left Midi-Pyrénées to sign for CS Louhans-Cuiseaux. He played two years for CS Louhans-Cuiseaux and then signed a three years contract with Football Club Metz.
On 11 June 2010 United States Boulogne signed the midfielder on a two-year contract from Football Club Metz.
He played for Football Club Nantes from 2011 to 2015, before joining Master of Science Caen in June 2015.