Career
He is currently playing for Djurgårdens IF in the Swedish Hockey League. Fällström was selected by the Minnesota Wild in the 4th round (116th overall) of the 2009 National Hockey League Entry Draft. Fällström played junior hockey in Djurgården before moving to the United States to play for Harvard in the National Collegiate Athletic Association. Fällström played parts of three seasons for Providence Bruins in the American Hockey League.