A.J. Burnett Rumors: Tuesday

10:57pm: Heyman says the Yankees’ topped the Braves offer for Burnett by a few million dollars.  He says the Yanks apparently will attempt to sign all three top free agent starters – C.C. Sabathia, Derek Lowe, and Burnett.

8:34pm: J.P. Ricciardi says the Blue Jays won’t offer Burnett a five year deal or four years with an option.  Braunecker still won’t admit the Jays are out of it.

5:18pm: SI.com’s Jon Heyman says the Yankees are considering making a five-year offer to Burnett.  Dan Graziano believes Burnett has the personality to thrive in New York. 

3:21pm: Ken Rosenthal says it’s not out of the question that Burnett’s price could rise to five years, $100MM if the Yanks miss out on Sabathia.

3:06pm: ESPN’s Keith Law says Burnett is unlikely to sign this week, barring a major change.

2:14pm: Rosenthal says the Braves will meet with Braunecker again today.

2:07pm: Some talk from Braunecker via Amalie Benjamin:

Braunecker also said that about a half dozen clubs have "significant mutual interest" in Burnett, including one team that entered the fray in the last 72 hours and one that has essentially been eliminated from the mix.

1:23pm: ESPN’s Jerry Crasnick says the Yanks’ meeting with Burnett took place Monday night, and they’ll talk again today.  The Yankees are prepared to top Atlanta’s offer and wouldn’t mind signing both Burnett and C.C. Sabathia.

1:00pm: Joe McDonald of The Providence Journal says the Red Sox had "significant dialogue" with Burnett and he appears to be Boston’s main free agent pitching target.

12:26pm: Joel Sherman says the "Blue Jays have now acknowledged there is almost no way Burnett is returning," which J.P. Ricciardi pretty much said publicly a few days ago.  Sherman notes that they hope to sign Carl Pavano to a minor league deal.  He says the Jays are targeting an $83MM payroll, something I originally missed but Drunk Jays Fans didn’t.

11:15am: SI.com’s Jon Heyman says Brian Cashman hopes to meet with A.J. Burnett’s agent Darek Braunecker today.  The Yankees are expected to top Atlanta’s four-year, $60MM plus a vesting option bid.  The Braves seem willing to counter, though.