In 2005, Van Koeverden won two medals at the 2005 ICF Canoe Sprint World Championships in Zagreb: a silver in the K-1 1000 m and a bronze in the K-1 500 m. At the 2006 ICF Canoe Sprint World Championships in Szeged, Hungary, Van Koeverden finished fourth in both the K-1 500 m and 1000 m finals. At the 2006 Canadian Sprint Canoe Championships in Regina, Saskatchewan, he won five gold medals (K-1 1000 m, K-2 1000 m, K-4 1000 m, K-4 200 m, and War Canoe), and two silver medals (K-1 200 m and K-2 200 m).