Maple Leafs center Nazem Kadri and defenseman Jake Gardiner have attracted the most interest from other teams, and multiple league sources have told TFP that both players have been offered up in trade discussions.
Nonis wasn't originally shopping either player, but it's believed he has made them available to certain teams as he searches for a top-line forward, presumably a center.
The New York Post, Toronto Star and Sportsnet have also all reported similar news, with Kadri's name being the latest to hit the market.
According to one source, speaking on the basis of anonymity, the Leafs have inquired about Carolina Hurricanes center Jeff Skinner and may have been trying to work out a deal for the 21-year-old star.
It's unclear how talks have progressed, if at all, though the Leafs aren't the only team to have asked Hurricanes GM Jim Rutherford about Skinner, a Toronto native.
However, the source also indicated that Carolina isn't likely to trade Skinner, unless the package being presented is too good for Rutherford to pass up.
Rutherford has spoken to Nonis about Gardiner's availability, and the Leafs and Hurricanes have also discussed another deal involving veteran defenseman John-Michael Liles.
The Leafs and Edmonton Oilers have also been keeping a close eye on each other, with an Oilers scout being at the last few Toronto games.