Jalasvaara has played in Liiga for Espoo Blues and KalPa, the Kontinental Hockey League for Dynamo Moscow, HC Sochi and Kunlun Red Star and in the Swedish Hockey League for Rögle BK and Timrå IK. He has won the Gagarin Cup twice with HC Dynamo Moscow and was chosen to the 2013 Finland men's national ice hockey team for the 2013 IIHF World Championship.
