Martini elected free agency Friday.
The Reds activated Martini (thumb) from the 60-day injured list and optioned him to their Arizona Complex League affiliate.
Martini (thumb) began a rehab assignment with Triple-A Louisville on Saturday.
Martini (thumb) has been cleared to begin a rehab assignment, Charlie Goldsmith of The Cincinnati Enquirer reports.
The Reds transferred Martini (thumb) to the 60-day injured list Saturday.
Reds manager David Bell said Wednesday that Martini will likely be out until September after undergoing surgery to repair ligament damage in his left thumb, Mark Sheldon of MLB.com reports.
The Reds placed Martini on the 10-day injured list Sunday with a left thumb injury.
Martini went 1-for-1 with a walk and a solo home run in Thursday's 8-4 win over the Yankees.
Martini is out of the lineup for Sunday's game against the Cardinals.
Martini isn't in the Reds' lineup for Sunday's game against the Red Sox.