 Oddleifson was selected 10th overall in the 1970 NHL Amateur Draft by the California Golden Seals following a dominant final junior season with the Winnipeg Jets of the WCHL, during which he finished with 95 points (including a league-leading 64 assists) and 243 penalty minutes.At the end of the 1969-70 season the Seals had traded their pick in the first round of the 1971 draft to the Montreal Canadiens, along with Francois Lacombe in return for Montreal's first round pick in 1970, Ernie Hicke and cash.As a result of the Seals' dreadful 1970-71 season, the Canadiens owned the top pick in the 1971 draft, and used it to select future Hall of Famer Guy Lafleur, while the Seals drafted Oddleifson with Montreal's number ten selection in 1970.