Free agent Ray Allen left his meeting Thursday night with the Miami Heat without giving them an answer on their contract offer, and is torn on whether to leave the Boston Celtics, sources told ESPN.com Friday.

Allen had an afternoon meeting with Heat president Pat Riley and coach Erik Spoelstra, then went to dinner with them and other members of the team's front office. The Heat offered Allen their mid-level exception, which starts at $3.09 million per season -- or half of the Celtics' offer of $6 million per year for two years. The most the Heat could offer is three years and $9.5 million.

The sources did not go into specifics, saying Allen is torn because remaining a Celtic is still very much an option.

Meanwhile, a third team -- the Minnesota Timberwolves -- has not been ruled out as an alternative for Allen, though he isn't at the top of the Wolves' wish list at the moment, sources tell ESPN The Magazine's Ric Bucher.

LeBron James says he hasn't spoken to Allen yet, but he is hopeful that Allen wants to win a title with the Heat.

"I haven't talked to Ray," James said when asked what his sales pitch was to Allen after Team USA's first scrimmage Friday afternoon in Las Vegas. "My sales pitch is we're trying to win a championship every year and we got the pieces to do it. He'd be a great addition to our team. We would love to have him. He would play a big role in us trying to repeat and we'll see what happens. Ray is a veteran guy, he understands what it means to win a championship and hopefully he'll want to do it with us."

James believes it would be easy for Allen to come in and mesh with the Heat right away.