Bristo signed a minor-league contract with the Rays on Tuesday, Marc Topkin of the Tampa Bay Times reports.
Bristo has been given an invitation to major-league spring training as part of the deal. The 28-year-old spent last season at Triple-A Scranton/Wilkes-Barre in the Yankees organization, posting a 4.56 ERA and 64:31 K:BB over 53.1 relief innings. He has yet to reach the majors.