Gélinas reached the Stanley Cup finals with four teams. He was a member of Edmonton's 1990 championship team and also reached the final in 1994 with Vancouver, 2002 with Carolina and 2004 with Calgary. He tied a record in 2004 by scoring three series-winning goals in one playoff year, earning the nickname "The Eliminator". After playing his final professional season with SC Bern in the Swiss National League A (NLA), Gélinas turned to coaching and player development. He was named an assistant coach with the Calgary Flames in 2012.
