The Twins signed Marquez to a minor-league contract Thursday, Dan Hayes of The Athletic reports.
Marquez was released by the Padres over the weekend after collecting a 5.26 ERA, 1.49 WHIP and 37:24 K:BB over 53 innings covering 10 starts and three relief outings. The 31-year-old will provide the Twins with a depth rotation option at Triple-A St. Paul.