Biega was selected by the Buffalo Sabres in the fifth round (No. 147) of the 2006 NHL Draft. He attended Harvard University, where he scored 70 points (15 goals, 55 assists) in 131 games and was named captain in 2009-10, his senior season.

Biega played for Portland of the American Hockey League in 2010-11, his first professional season, and scored 18 points (three goals, 15 assists) in 61 games, finishing the season tied for fourth among AHL rookies at plus-18.

He played the next two seasons for Rochester of the AHL, and in 2012-13 finished third among Americans defensemen in assists (20) and points (25).

On July 5, 2013, Biega signed a one-year contract with the Vancouver Canucks and was assigned to Utica of the AHL. He played most of the next two seasons with Utica before he was called up by the Canucks and made his NHL debut against the Minnesota Wild on Feb. 16, 2015, scoring the game-winning goal in a 3-2 victory.

Biega scored one goal in seven games for Vancouver before he was returned to Utica, where he finished the season with 19 points (three goals, 16 assists) in 62 games.

In 2015-16, Biega played 51 games for the Canucks and scored seven assists. He signed a two-year, one-way contract with Vancouver on Feb. 2, 2016. He finished tied for fourth on Vancouver in hits (126) in 2017-18 despite playing 44 games.

The Canucks signed Biega to a two-year contract Feb. 28, 2018 and traded him to the Detroit Red Wings on Oct. 6, 2019. Biega signed a one-year contract with the Red Wings on March 9, 2020.

NOTES & TRANSACTIONS

• ECAC All-Rookie Team (2007)
• Signed as a free agent by Vancouver, July 6, 2013.
• Traded to Detroit by Vancouver for David Pope, October 6, 2019.
• Signed as a free agent by Toronto, July 28, 2021.