Vincent signed a minor-league contract with the Tigers on July 7 and was assigned to Triple-A Toledo.
Vincent was released by Atlanta on Monday.
Vincent was reassigned to minor-league spring training Friday.
Vincent signed a minor-league contract with Atlanta on Wednesday that includes an invite to major-league spring training.
Vincent was outrighted to Triple-A St. Paul on Friday, Aaron Gleeman of The Athletic reports.
Vincent (1-0) struck out two in two perfect innings to earn the win against the Royals on Sunday.
The Twins selected Vincent from Triple-A St. Paul on Friday, Betsy Helfand of the St. Paul Pioneer Press reports.
Vincent cleared waivers and was outrighted to Triple-A St. Paul on Friday.
Vincent was designated for assignment by the Twins on Wednesday, Brandon Warne of Access Twins reports.
Vincent's contract was selected by the Twins on Tuesday.