 On 6 December 2006, Berisha became the first Albanian ever to score a goal in the group stages of the UEFA Champions League by scoring his first goal for Hamburg in the match against CSKA Moscow at home in Hamburg.Exactly 10 days later, on 16 December 2006, Berisha managed to score his first Bundesliga goal against Alemannia Aachen, as the starting striker and scoring the opening goal in the 32nd minute in the match as it finished in an away draw 3–3.He went on to make a total 14 appearances for Hamburg in the 2006–07 season, including one in the German cup and two in the UEFA Champions League, and eleven of them as a substitute.