Wissam Toubal participated in World Youth Chess Championships in various age groups. In 2001, in Cairo she won bronze medal in African Women's Chess Championship. In 2001 Wissam Toubal participated in Women's World Chess Championship by knock-out system and in the first round lost to Alisa Galliamova. In 2003, Wissam Toubal played for Algeria in All-Africa Games chess tournament and won team and individual gold medals. In 2005, she won 3rd place in the Women's World Chess Championship Africa Zonal tournament.