In the 2000–01 season she took a silver medal in the Göppingen Junior World Cup. At the age of sixteen, she joined the national sabre team, composed of Sandra Benad, Sabine Thieltges and Doreen Häntzsch. At the 2001 European Championships at home in Koblenz Germany prevailed over Hungary and Poland, then defeated Italy in the final to earn the gold medal. After this achievement Kubissa transferred to TSV Dormagen, a bigger club which could shoulder the travel costs to international competitions. She took part in the World Championships in Nîmes, where she reached the table of 16. In the team event Germany lost to Russia in the semifinals, but overcame Azerbaijan in the small final and came away with a bronze medal.