Bine Prepelič started his career in Slovenska Bistrica, where he spent practically the entire period of the younger age categories, and for the member team of Bistrica he also played in the 3. SKL for two seasons. This was followed by a move to Kansai Helios Domžale, with whom he also signed his first professional contract in 2019. He spent a short period as a loan player of the Domžale team in Ljubljana’s Ilirija in the 2. SKL, and then gained experience in the Helios jersey in the NLB League ABA 2 and the Slovenian national championship.

In his final season in the second regional league, he played in 14 games, averaging 28.4 minutes on the floor while averaging 6.8 points and 8.1 rebounds per game. Before the start of the 2022/23 season, he moved to Spirou, where he played in 29 games in the 2023/24 season, averaging 8.4 points, 6.7 rebounds and 1.6 assists.

He made his debut in the jersey of the Slovenian men’s national team in the qualifiers for the 2023 World Cup. He played three matches in the qualifiers, and with good performances he also earned a place in the national team that played in the 2023 World Cup. He played in eight games in the competition, averaging 4.5 points, 3.9 rebounds and 0.9 assists. In 2024, Prepelič also played in two qualifying matches for EuroBasket 2025, and in the summer he was also included in the list of candidates for the Olympic qualifying tournament in Piraeus, where he ultimately did not travel.

Prepelič, otherwise a cousin of the Slovenian national team and former Cedevita Olimpija player Klemno Prepelič, was a member of the U18 national team in 2018, which won second place in Skopje at the European Championship of Division B, and in 2019 he was with the U18 national team at the European Championship of Division A won third place in Greece. In 2021, he took first place with the Slovenian under-20 national team at the Challenger in Heraklion, Greece.