Career
He was selected by the Hurricanes in the 4th round, 97th overall, at the 2014 National Hockey League Entry Draft. Wallmark made his Elitserien debut playing with Skellefteå AIK during the 2012-2013 Elitserien season. He transferred to SHL rivals, Luleå High Frequency, the following year with which he has spent two seasons.
On June 11, 2015, Wallmark signed a three-year entry-level contract with the Carolina Hurricanes.