Dumont was hired as the head coach of the Tier I Nashville Junior Predators, based in Franklin, Tennessee, in 2016.

Roberto Luongo, Francis Lessard, Steve Bégin and Jean-Luc Grand-Pierre were teammates at Val-d'Or who have also made it to the NHL.

In 1998, a contract dispute between Dumont and the team led to the Islanders to trade him to the Chicago Blackhawks along with a fifth round pick in exchange for Dmitri Nabokov.

[citation needed] In August 2006, he signed a two-year, $4.5-million contract with the Nashville Predators after the Buffalo Sabres rejected Dumont's $2.9-million arbitration award.

[citation needed] With limited NHL interest, on October 21, 2011, he signed a one-year contract with Swiss team SC Bern of the National League A.