Brice signed a minor-league contract with Minnesota on Saturday and will report to Triple-A St. Paul, the St. Paul Pioneer Press reports.
Brice had an ugly 24.00 ERA (8 ER in 3 IP) with a 3:9 K:BB ratio at Triple-A Reno before his release from the Diamondbacks organization. He'll get another shot with Minnesota, an organization in need of relief pitching depth.