Sulić started his youth career in RK Trsat where very quickly he showed a great capability in playing handball. Soon he moved to RK Zamet where he helped the team return to the First A League in 1995-96 season. The same year he was also a part of the winning Zamet team in the U-19 Championship.[2]
After four years in Zamet he became unhappy with his status in the club and left to Metković Jambo. He stayed in the club for only a year and won his first European competition EHF Cup and finishing second in the league.
After not being selected for 7 years Željko Babić called up Sulić to play for the national team but Sulić refused and said his national team days are a finished story.[5]
Personal life
Sulić has been married to former Miss Universe contestant Maja Cecić-Vidoš since 2003.[6] Renato and Maja have four children, three daughters and a son.[7]
For a while Sulić and his wife owned a local bar in Rijeka named Maat Bar. [8]