Career
He is currently playing for the Texas Stars in the American Hockey League (AHL) as a prospect for the Dallas Stars of the National Hockey League (National Hockey League). He was drafted 43rd overall by the Dallas Stars in the 2012 National Hockey League Entry Draft. Byström played with Modo Hockey in the Elitserien during the 2010-2011 Elitserien season.
On July 16, 2012, he signed a three-year entry-level contract with the Dallas Stars.
He was then returned on loan to Modo. On April 29, 2013, Byström was re-assigned from Modo to league rivals Färjestad BK for two seasons on loan from the Stars.
At the completion of the 2014-2015 season with Färjestad BK, Byström embarked on his North American career in reporting to the Stars AHL affiliate in Texas on March 12, 2015.