Buium played two seasons in the U.S. National Team Development program after spending two years of high school at Shattuck-St. Mary’s Prep in Faribault, Minnesota. He led the team defensemen with 40 points in 63 games for the U.S. NTDP Under-18 Team in 2022-2023 and helped Team USA win the gold medal at the 2023 IIHF U18 World Championship, scoring 1 goal and 5 assists in the 7 games. He committed to play hockey at the University of Denver.
In his first season at Denver, Zeev Buium was a dominating offensive force. In 42 games he had 11 goals and 39 assists.