08:15 AM ET 07.30 | Despite a nice win Sunday night over the Yankees, their would-be AL East rivals are clearly a flawed team. The dysfunctional 2012 Boston Red Sox are trying to rid themselves of a major piece of their 2011 meltdown: Josh Beckett. Boston officials have placed calls to teams including Texas and Atlanta within the last two days gauging interest in the right-hander, multiple major-league sources told Yahoo! Sports on Sunday. While no deal is imminent, Boston has indicated it is willing to eat money on the remaining two-plus years and approximately $37.3 million of Beckett's contract to facilitate a trade, the sources said. As time wanes, the likelihood against a Beckett deal before the Tuesday non-waiver trade deadline grows.