On June 26, 1999, shortly after the completion of Savard's first full season with the Rangers, he was traded to the Calgary Flames, along with the Rangers' first-round choice in 1999 (Oleg Saprykin), in exchange for the playing rights to Jan Hlaváč, Calgary's first-round pick (Jamie Lundmark) and third-round pick (later traded back to Calgary; Calgary selected Craig Anderson) in the 1999 Draft. Savard continued to improve with the Flames and in 2000–01, he finished second in team scoring to Jarome Iginla with 65 points.