Wigginton's RBI single gave the Orioles a 3-2 lead in the fifth inning and his sacrifice fly to right field broke a 3-all tie in the ninth.
Evan Longoria hit his fifth home run of the spring in the first, a two-run blast off Orioles starter Jake Arrieta.
Robert Andino tied the game in the fifth with a two-run drive off Rays reliever Carlos Hernandez.
Rays starter Mike Ekstrom gave up just one hit over three innings. He is currently competing with Joaquin Benoit for the final spot in the bullpen.