 Džomba scored 25 goals in the EHF Champions League for Kielce.On 10 November 2010 in a Cup match against KS Azoty-Puławy Džomba got red carded for the first time in his entire career.On 3 January 2011 Džomba played a friendly match in New York City with the World All Stars team against the German Bundesliga team.