The legendary left wing played in Croatia for Mehanika Metković, Badel 1862 Zagreb and Agram Medveščak, in Bosnia and Herzegovina for Borac Banja Luka, in Spain for FC Barcelona, BM Granollers, and in France for Saint-Marcel Vernon.

Ćavar has stated that Veselin Vujović was a big influence on him opting to playing handball.

He played for the Croatian national team at the 1996 Summer Olympics in Atlanta, where Croatia won the gold medal.

[1] Ćavar was the top goalscorer of the Croatian national team from 1996 to 2007, when Mirza Džomba broke his record.

The first final match was played in Zagreb where Ćavar and his team beat TEKA Santander 22:20.

[5] Ćavar also took the first ever Croatian domestic titles beating Zamet in the league and Coning Medveščak in the finals.

The following season Ćavar's club changed its name again due to sponsorship reasons into RK Badel 1862 Zagreb.

They played against SG Wallau-Massenheim winning both matches and taking the last European Champions Cup trophy.

The 1993–94 season saw Ćavar winning the domestic title and he was awarded the best player of the Croatian First A League yet again.

The next three season Ćavar won all of the domestic titles and reached the EHF Champions League final in 1995 and 1997.

[14] Ćavar's first tournament with the national team was in at the 1993 Mediterranean Games in Languedoc-Roussillon where he won his first gold medal for Croatia.

Croatia lost in the final to France and Ćavar had bagged his first silver medal for the national team.

[15] Unfortunately years of bad results would come to haunt the national team of Croatia and Ćavar would not win another medal.

Ćavar has been a big influence to handball players such as Nikola Karabatić and Mohamed Mokrani.