Venditte (oblique) was outrighted to Triple-A New Orleans on Tuesday, Jordan McPherson of the Miami Herald reports.
Venditte was placed on the 10-day injured list with a strained right oblique.
Venditte underwent an MRI on his right oblique Wednesday, Andre Fernandez of Sirius XM Radio reports.
Venditte was removed from Tuesday's game against the Mets with a right oblique strain.
Venditte's contract was selected by the Marlins on Saturday.
Venditte signed a minor-league contract with the Marlins on Thursday, Jeff Passan of ESPN.com reports.
Venditte elected to become a free agent Wednesday, Andersen Pickard of MLBDailyDish.com reports.
Venditte signed a minor-league contract with the Marlins on Friday which includes an invitation to spring training, Jon Morosi of MLB Network reports.
Venditte cleared waivers Sunday and was outrighted to Triple-A Sacramento.
Venditte was designated for assignment by the Giants on Tuesday, Kerry Crowley of The San Jose Mercury News reports.