After playing in North America on various levels, he signed Cergy-Pontoise (Ligue Magnus) in 2021 and played his first season in Europe. He then signed with the Belfast Giants (the team won the EIHL) and joined the Pioneers Vorarlberg in 2023.
Steven Owre ended the 2023-24 regular season as the ICEHL's MVP as well as their best point-getter, recording 31 goals and 31 assists in 48 games. He added six goals and four assists in eight postseason games to his tally.