In the summer of 2014 she signed with French handball club Handball Cercle Nîmes. National team
She participated in the 2009 World Championship in China, where Tunisia placed 14th, and Chebbah was among the top ten goalscorers. Chebbah played the final of the 2010 Africa Nations Championship, where Tunisia lost against Angola.
Mouna Chebbah played three seasons for French club Besançon before transferring to Team Esbjerg of the Danish league.
She was also voted best playmaker of the league and was part of the All Star Team for the 2009/10 season. In May 2010 Chebbah signed a three-year contract with Viborg Hong Kong.