For the 1985–86 NHL season, Momesso made the Canadiens' roster out of training camp and meshed well on a line with Brian Skrudland and Mike McPhee, recording 8 goals and 15 points in his first 24 games to start his career.

After the 1987–88 season, the Canadiens traded him to the St. Louis Blues along with goaltender Vincent Riendeau for Jocelyn Lemieux, Darrell May, and a second-round draft pick in 1989 (which Montreal used to select Patrice Brisebois).

After his first season in St. Louis, during which he recorded 26 points in 53 games, Momesso's career took an upward turn in 1989–90 when he was placed on a line with Brett Hull and Adam Oates.

Spending much of the season on the Blues' top line, Momesso turned in the most productive year of his career, finishing with 24 goals and 32 assists for 56 points, along with 199 penalty minutes.

At the trade deadline in 1991, the Blues dealt Momesso to the Vancouver Canucks in a six-player deal along with Geoff Courtnall, Cliff Ronning, and Robert Dirk in exchange for Garth Butcher and Dan Quinn.

[1][2][3] Momesso got his Canuck career off to a fine start, recording 6 goals in 11 games to help the team on a successful late-season push to qualify for the playoffs.

However, he redeemed himself in the 1994 playoffs, as his strong physical play on a line with Martin Gelinas and Nathan LaFayette was one of the catalysts for Vancouver's run to the Stanley Cup Finals.