Buium played two seasons for the
Sioux City Musketeers. During the
2019–20 season, he recorded one assist in four games. During the
2020–21 season, in his first full season with the Musketeers, he recorded four goals and 22 assists in 50 regular season games and one goal and two assists in four playoff games. Following the season he was named to the USHL
All-Rookie Second Team. On July 24, 2021, he was drafted in the second round, 36th overall, by the
Detroit Red Wings in the
2021 NHL entry draft. Buium began his
collegiate career for the
Denver Pioneers during the
2021–22 season. During his freshman year he recorded three goals and 15 assists in 39 games and helped Denver win the
national championship. He ranked third among defensemen in shots with 65 and added seven power-play assists, third-most among team defensemen. Following the season he was named to the
All-NCHC Rookie Team. During the
2022–23 season, in his sophomore year, he recorded four goals and 17 assists in 38 games. He ranked fourth on the team with 32 blocked shots. During the
2023–24 season, in his junior year, he recorded a career-high seven goals and 29 assists in 43 games. He ranked fifth on the team in scoring and tied for third in assists, both of which were the second-most by a Denver defenseman, trailing only his brother
Zeev Buium. His 36 points ranked eighth in the NCAA among defensemen while his 29 assists tied for sixth. He finished the season with a +33 plus/minus rating, tied with his brother Zeev for the highest ever by a Pioneer since the statistic first began being tracked in 2005–06. During the national championship game at the
2024 NCAA Division I men's ice hockey tournament he assisted on the game-winning goal against
Boston College. He was also named a finalist for the
NCHC Defensive Defenseman of the Year and
NCHC Offensive Defenseman of the Year. He finished his collegiate career with 14 goals and 61 assists with a plus-61 rating in 120 games and won two national championships in three years with the Pioneers. On April 17, 2024, Buium signed a three-year, entry-level contract with the
Detroit Red Wings. He also signed an
amateur tryout (ATO) with the Red Wings' AHL affiliate, the
Grand Rapids Griffins. He made his professional debut for the Griffins on April 19, 2024, in a game against the
Iowa Wild. On October 10, 2024, Buium was activated from the injured non-roster and assigned to the Grand Rapids Griffins. ==Personal life==