After the Canucks chose not to re-sign him, he signed as a free agent to play in Europe for Geneve-Servette HC of the NLA and signed a one-year contract. After a very good season in Switzerland during which he earned 60 points and took the fifth place of the overall top-scorer rankings, Ritchie, again a free agent, decided to sign with the Dinamo Minsk of the Russian KHL. In the 2009–10 season, Bryon was hampered by injury and played in just 12 games posting 3 goals for Minsk.