Transferring to Calgary along with the franchise in 1980–81, Reinhart improved to 67 points during the regular season and tied for the league lead in playoff assists with 14. He was named to the Canadian entry for the 1981 Canada Cup tournament, but suffered an ankle injury and appeared in only two games. He remained an offensive catalyst for the team, scoring 61 points in 1981–82 and set a franchise record for points by a defenceman with 75 in 1982–83. His career total of 250 points also set a Flames franchise record for a defenceman. He returned to Team Canada following both seasons to play in the World Championships. He won bronze medals with the team in both 1982 and 1983, and was named Team Canada's top defenceman in 1983.