The 30-year-old likely would have received more consideration this season, but he was a victim of his contractual status. Wagner has a Minor League option remaining on his contract while a lot of other pitchers in the mix for a job don't, and that became a factor.
Right-handers Jeremy Jeffress, Dustin McGowan, Esmil Rogers and Todd Redmond also are competing for jobs. They cannot be sent to the Minors without first clearing waivers and being made available to other teams.
Wagner will likely receive another opportunity at some point this season. He's expected the start the year with Triple-A Buffalo, where he posted 16 saves for the Bisons last season.
Gregor Chisholm is a reporter for MLB.com. Read his blog, North of the Border, and follow him on Twitter @gregorMLB. This story was not subject to the approval of Major League Baseball or its clubs.