Montreal is one of several teams interested in Lecavalier.
The Dallas Stars, Anaheim Ducks, Philadelphia Flyers and St. Louis Blues have also met with the 33-year-old, who is in New York, where most teams are staying for the Draft, while the Detroit Red Wings and Toronto Maple Leafs are also expected to meet with him later tonight.
The San Jose Sharks, Ottawa Senators, Boston Bruins and Nashville Predators have also expressed an interest in Lecavalier.
Lecavalier is expected to take the some time to narrow down a list of teams he'd like to further the conversation with before making a final decision at some point next week.
Montreal has been focused in other areas outside of Lecavalier, though. While the Draft is an important element, the team is also working the trade lines.
It has been widely reported that the Canadiens have received trade inquiries on center Tomas Plekanec.
Plekanec, 30, has three-years left on a six-year, $30 million contract that pays him $5 million per season.
The native of Kladno, Czech Republic, owns a limited no-trade clause and might have a say in where he ends up, should the Habs decide to move him.
The Blues are in the market for a top-line center and are supposedly dangling left wing David Perron as trade bait. It's unclear if the two teams have spoken about Plekanec.