Quagliarella's representative said TFC is one of several MLS clubs interested in acquiring the 30-year-old Juventus striker.
The 30-year-old was linked with a move from the Italian champions prior to the start of the 2013-14 season but a transfer failed to materialize.
Beppe Bozzo has now confirmed a number of MLS sides are looking into adding the Italy international during next summer's transfer window.
"It's true, Toronto FC have expressed an interest in him, as well as a number of other MLS sides," Bozzo told Tuttosport. "Nevertheless, we’ll see what happens in the summer. For now, Quagliarella is just focused on Juventus and getting back to action as soon as possible."
Quagliarella has made seven appearances for Juventus this season, scoring three goals.