According to Joe Cowley of the Chicago Sun-Times, Matt Thornton being sent to the Atlanta Braves is a possibility. via Joe Cowley's twitter page.

@cst_Cowleycst_CowleyMatt Thornton to Atlanta is picking up steam. Keep an eye on it.
Although Thornton himself doesn't think it's going to happen.
@cst_Cowleycst_CowleyThornton also said he didn't see a fit in the Atlanta rumor, but knows his name is out there.
Thornton, 35, has a career record of 28-28 with a 3.52 ERA, including 499 strikeouts to just 194 walks in 460 innings pitched over a seven year career thus far. He is a valuable reliever that can close games if he's asked. Left handed relievers with this kind of success don't come around very often and the NL East is a division in which you want quality left handed relievers to face sluggers Ryan Howard Mike Stanton.
For more news and coverage on the Atlanta Braves visit SB Nation's Talking Chop for all things Braves.