Octagon announced on Twitter that Soriano would be holding a throwing session for teams on June 11 in the Dominican Republic.
According to Jon Heyman of CBS Sports, the Cardinals, Blue Jays, and Cubs are three teams that are interesting in Soriano, calling the Cardinals a "surprise entry" into the mix. The Blue Jays have had previous reported interest in Soriano and want to see what his price tag is now that he's changed agents.
Out of pure speculation, Heyman also mentions the Dodgers and Mariners as two teams that could be fits for Soriano, as he notes that it's unknown if either team has truly looked into him as an option for their respective bullpens.
The Yankees are another team that has been connected to Soriano, considering they have needed a right-handed reliever. New York has five lefties out of the bullpen.
Soriano, 35, has had a successful career as a closer over the past five seasons, and served in that role with the Nationals over the last two. He pitched well last year, going 4-1 with a 3.19 ERA and 32 saves, but in the second half of the season Soriano imploded, pitching to a 6.48 ERA en route to the loss of the closer's job.