Zack Greinke figures to sign one of the two largest contracts of the offseason, and could do so before the 2012 Winter Meetings end. His agent, Casey Close, told reporters yesterday that it won't take him more then 24-48 hours to see if he can get a deal signed before he leaves Nashville. Here are Monday's Greinke rumors, with the most recent updates topping the list…

When it comes to a willingness to spend on Greinke, the Rangers are "right there" with the Dodgers, according to Joel Sherman of the New York Post (Twitter link). Sherman also says the Nationals remain in contact with Greinke, though the Angels seem to be falling out of the running.

The Dodgers seem determined to sign Greinke no matter the cost, reports Jon Heyman of CBS Sports. Heyman asked a Dodgers person about the team's budget, to which the reply was, "What budget?" Good news for Casey Close! The Rangers, Nationals, Angels, and Braves are some of the other teams showing interest in Greinke, but Heyman indicates the Dodgers are the heavy favorite.