During his career, he has won the Slovenian League championship four times and was named the Finals MVP in 2024.

Klobučar has played with Krka Novo Mesto, Geoplin Slovan, Partizan Belgrade, Union Olimpija, Ostuni Basket and ratiopharm ulm.

On 7 August 2018 he signed with Galatasaray of the Turkish Basketbol Süper Ligi (BSL).

[3] On 9 November 2021 Klobučar signed with Aris of the Greek Basket League, temporarily replacing the injured Olivier Hanlan on the team's roster.

On December 10 of the same year, he officially parted ways with the Greek club, having appeared in two league matches and averaging 7.5 points and 3 assists per contest.