He played for RK Zamet, Badel 1862 Zagreb, Fotex Veszprém, BM Ciudad Real and Vive Targi Kielce before retiring in 2011.

Džomba also had a good Cup beating Metković in the Round of 16 but losing to a very strong Croatia Banka Zagreb in the quarter-finals.

The Champions League campaign had a similar result as last year a losing to FC Barcelona the first match 28:18 and in the second 28:22, 56:40 on aggregate.

The Champions League campaign started out well with RK Zagreb going undefeated in the group stage reaching the semi-finals.

After defeating Trogir Alpro ATT and RK Đakovo in the quarter-finals they lost in the semi-final to Metković Jambo, 25:26.

During the championship play-offs they beat Zamet Crotek in both matches reaching the final where they played against Metković Jambo.

On 10 November during Fotex Veszprém played their first Champions League group stage match against Vardar Vatrost.

Skopje taking first place in Group D. On 15 December Veszprém received their first loss in the Champions League campaign from SC Magdeburg.

The next day Ciudad's physiotherapist announced that Džomba had sprained ligaments in his left knee and that he would be unable to play for six weeks.

[23] On 20 October Ciudad Real gave a staggering defeat to Teka Cantabria with the result 35:21 Džomba was yet again one of the better players of the match, scoring seven goals.

On 29 September Džomba was part of a farewell match for Russian goalkeeper Andrej Lavrov alongside players such as Ivano Balić, Jackson Richardson, Lars Christiansen and many more handball legends.

[40] After a shady performance four days later Džomba saved his club from a loss in the domestic league by scoring eight goals against Keymare Almeríain a very close 28:27 win.

[48] Ciudad Real faced Portland San Antonio in the EHF Champions League final winning both matches on 47:62 aggregate.

Before the start of the 2006-07 on 7 September Džomba announced it would be his last season with BM Ciudad Real and that he would be moving to RK Zagreb.

[52] In a group stage match of the EHF Champions League Džomba scored 10 goals against Kadetten Schaffhausen for a win with the result 39:31.

Džomba scored four goals alongside his colleague Petar Metličić[55] In the quarter-finals of the EHF Champions League Ciudad faced Portland San Antonio.

[57] Džomba's last trophy for the club was winning the IHF Super Globe which was held from 5 to 9 June in Cairo, Egypt.

[60] During his first season he helped his side reach the main round of the EHF Champions League but sadly they did not progress to the semi-finals.

During his second season Džomba yet again secured both domestic titles with CO Zagreb and reached the quarter-finals of the EHF Champions League.

[64] On 15 June 2010 it was confirmed that the Džomba signed a contract with Polish Superliga title holders Vive Kielce.

[69] In 1998 Velimir Kljaić was appointed new head coach of the national team for the upcoming European Championship in Italy.

Due to recent poor results on the World and European Championship's Croatia needed to win this tournament to qualify for the 2000 Summer Olympics in Sydney.

Džomba and his teammates defeated Iceland (34:30), Slovenia (26:27), South Korea (29:26), Russia (25:26), Spain (30:26), Greece (33:27), Hungary (33:31) and Germany in the final.

Croatia passed their Group Stage undefeated with wins against Argentina (36:23), Japan (25:34), Australia (38:18), Spain (31:33) and Sweden (28:27).

[81] Though his performances at the World Championship weren't great 2007 was a special year for Džomba as he had broken Patrik Ćavar's record for the most goals scored for the national team.

Džomba wanted to have his farewell with the national team and the fans at the 2009 World Championship in Croatia but could not play due to injury on his right leg.

[86] As of March 2016 Džomba is the president of the Handball Association of Primorje-Gorski Kotar, taking the position from his former coach Darko Dunato.

Besides sports related TV shows and commercials he appeared in the first episode of Najveći hrvatski misteriji with colleague Igor Vori in 2009.

The same year he was prank phone called by comedians Davor Jurkotić and Mario Batifjaka on the show Bijele udovice.

[91] During December 2016 Džomba guest starred in U zdrav mozak Celebrity prank calling friends with host Davor Jurkotić.