Petar Bosančić started his career in the
NK Solin youth academy, moving to the nearby giants
Hajduk Split at the beginning of 2012. In the 2014–15 season, he established himself as a regular in Hajduk's third-tier B team, before making his debut for the injury and suspension-riddled first team on 26 April 2015 away 2–0 win against
Slaven Belupo. In March 2023, Bosančić signed for
Latvian Higher League club
Riga. He departed the club in July 2024 having had his contract terminated by mutual consent.
FK Žalgiris In February 2025 Petar Bosančić signed with lithuanian
FK Žalgiris. On 3 March 2025 was injured at training and passed a part of the season. On 11 September 2025 announced, that footballer began training with Žalgiris team. ==International career==