The 21-year-old spent the past two seasons playing for Farjestad BK of the Swedish Hockey League. This season, he scored 17 goals and recorded 20 assists for 37 points in 46 games with a plus-17 rating. His 37 points were second on the team and 10th in the league at the conclusion of the regular season. He also had two goals and five assists for seven points in 14 playoff games. In 2017-18, the 5-foot-9, 186-pound forward scored four goals and tallied two assists for six points in 45 games. In 2016-17, he split his minutes between three clubs. He recorded 11 points (five goals, six assists) in eight games for Sweden Junior's Farjestad Jr, four games for Sweden 2's MoDo and one game for Sweden 3's Forshaga, where he had a goal and assist.
Steen has also represented Team Sweden on the international stage, scoring two game-winning goals, notching two assists and recording a plus-five rating in seven games played en route to winning a silver medal with Team Sweden at the 2018 World Junior Championship. He also won the silver medal with Sweden at the 2016 U18 World Junior Championship, recording three points (two goals, one assist) in seven games.
The Karlstad, Sweden native was originally selected by the Bruins in the sixth round (165th overall) of the 2016 NHL Entry Draft.