The Montreal Canadiens, Vancouver Canucks and Maple Leafs are believed to be the frontrunners for Sundin, however the Sun suggests it could come down to the Leafs and Canucks.
"The Maple Leafs are not out of the picture if I decide to play," Sundin said.
"They made me a very good offer, even if it isn't even close to what the Canucks have offered.
"But I have been in Toronto for 13 seasons and it is like home to me."
The Leafs and Habs have offered deals worth around $7 million, annually, in comparison to the two-year, $20 million contract the Canucks have pitched to Sundin.
"I will start thinking of the offers the day I decide to go on for another season," Sundin said. "I have to be sure that I have the energy to go through another season at this level."
