Wilkin Ramirez singled off Price to open the Twins' second. One out later he stole second then scored when Dan Rohlfing singled to left.
Kevin Correia started for the Twins, making his sixth appearance of spring. The right-hander, who signed a two-year deal with the Twins in December, surrendered a leadoff home run to Jose Lobaton to start the Rays' third that tied the score at 1. Lobaton was 3-for-3 on the day.
Price walked in a run in the fourth, and third baseman Evan Longoria's error allowed another run to score to put the Twins up 3-1.
Correia surrendered back-to-back RBI doubles to Yunel Escobar and James Loney in the fourth. Loney then scored on center-fielder Aaron Hicks' error to put the Rays up 4-3.
Price allowed two earned runs on nine hits and two walks while striking out seven in five innings.
Correia went 4 2/3 innings and allowed three earned runs on five hits and three walks while striking out two.
The Twins pulled ahead in the seventh, 5-4, and didn't give up the lead. Rays' pitcher Jim Paduch struck Ryan Doumit out swinging, but he went to first on a wild pitch and was replaced by pinch-runner Drew Butera. Paduch then issued a walk to Chris Colabello, and both he and Butera scored on a single from Eduardo Escobar.
Up next for the Twins: Right-hander P.J. Walters is scheduled to take the mound against the Blue Jays on Sunday in a 12:05 p.m. CT start at Hammond Stadium. Walters, who is competing for a spot in the rotation, has been solid this spring, as he's yet to allow a run in 10 innings. Right-hander David Bush is slated to start for Toronto. Watch the game live on MLB.TV.
Bill Chastain is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.