The goal scorer was selected by the Calgary Flames in the first round of the 1991 NHL Entry Draft (19th overall) from AIK. Despite this high selection number, Sundblad never really played in the NHL; in fact, he only played two games for the Flames in 1995-96 before returning to Europe. He would play in various leagues across the continent, most notably the Elitserien (AIK, Malmö IF), SM-Liiga (TPS Turku) and DEL (DEG Metro Stars, Kölner Haie, EV Duisburg). He won the DEL championship in 2001 with the Kölner Haie. Sundblad briefly tested his luck in the Asia League with the Nippon Paper Cranes; however, he didn't play at the level the club expected him to and was released on November 2nd 2007 by the Japanese club. He returned to Italy soon afterward.
Sundblad was a gold medalist with the Swedish National Team at the 1990 European Junior Championship; two seasons later, he won silver with the U20 squad at the 1992 World Junior Championship. He also won the silver medal at the 1997 World Championship.