[3] In 2011–12 season Kulda moved to North America to play for Edmonton Oil Kings of WHL.

[4][5] In 2015–16 season Kulda moved back to Latvia and joined his hometown club Dinamo Riga of KHL.

He made his KHL debut on 3 September 2015, in overtime loss against Medveščak Zagreb.

[6] After a three year absence, highlighted with a lone season with PSG Berani Zlín of the Czech Extraliga, Kulda returned to Dinamo Riga on a one-year contract as a free agent on 7 August 2021.

In 2016, he made his debut in 2016 World Championships in opening match overtime loss against Sweden.