2:06pm: Aside from the Dodgers and Rays, add the Marlins to the mix for League according to Stark. Not a big surprise.
1:51pm: The Rays are unlikely to make a deal today, tweets ESPN's Jayson Stark.
1:41pm: The Dodgers are also in on League, tweets Ken Rosenthal.
1:13pm: The Rays are interested in Scott Downs and Brandon League, according to Joel Sherman of the New York Post (Twitter links). Tampa Bay added Chad Qualls this morning, but lost Grant Balfour to the DL for 4-6 weeks with an intercostal strain (Marc Topkin of the St. Petersburg Times reporting on Twitter).
Downs and his former teammate, League, will not come cheap, according to Sherman, but the Rays continue looking for relief help despite a thin, highly-priced market. The Giants may be in serious talks with the Blue Jays regarding Downs and reportedly have interest in League, too.