There are as many as four teams interested in signing Grant Balfour, and one offer is on the table, the free-agent reliever told MLB Network Radio on Sunday.

Balfour had previously agreed to a two-year, $15M deal with the Orioles before it fell through because of issues with his physical this week.

The Baltimore Sun cited sources saying the issue was Balfour's surgically repaired right shoulder. But Balfour and his representatives insist the closer is healthy. Balfour told The San Francisco Chronicle that he's "100 percent fine."

ESPN.com's Jim Bowden has reported the Rays have interest in Balfour, who was an All-Star last season.