Leafs likely to trade undrafted veteran

There has been rumors since the beggining of the season on where 31-year old undrafted centreman Tyler Bozak may end up if traded since he will become an unrestricted free agent at the end of the season.
Lyle Richardson of The Hockey News has recently stated that teams that have missed out on the Matt Duchene and Kyle Turris deals could replace that emptiness with Bozak.

Several pending unrestricted free agents, such as Tavares, San Jose's Joe Thornton, St. Louis' Paul Stastny and Toronto's Tyler Bozak, could be available by the February 26 trade deadline. However, that depends on where those clubs sit in the standings as the deadline nears. If they're all in the postseason chase, those players won't be going anywhere, Richardson stated.

Bozak was never drafted in the NHL, the Maple Leafs signed him as an undrafted free agent in 2009 and evolved as one of their, if not best faceoff man. In 532 games, the 31-year old Saskatchewan native tallied 330 points during his 9 season tenure with the team. Bozak will become an UFA at the end of the year. 

Should the Toronto Maple Leafs start contract talks with Bozak's agent or should they trade him?