Souza sprained his left wrist in a collision at home plate in Sunday's 7-2 loss to Oakland.
Analysis: The Rays, who have been playing with 13 pitchers and only a three-man bench, aren't sure if Souza will be available for Monday night's game against Seattle. The disabled list is a possibility, manager Kevin Cash said. Souza made contact with A's catcher Stephen Vogt as he was being tagged out while trying to score from first base on James Loney's first-inning single.
Burton has agreed to a minor league contract with the Texas Rangers and will report Tuesday to Triple-A Round Rock.
Analysis: The 33-year-old Burton was 0-1 with a 4.50 ERA in four appearances this year with Class A Tampa and Triple-A Scranton/Wilkes-Barre. He was released by the New York Yankees on May 16. Burton is 18-19 with a 3.44 ERA and 10 saves in 367 relief appearances with Cincinnati (2007-11) and Minnesota (2012-14).
The San Francisco Giants on Sunday designated McGehee for assignment and recalled right-hander Hunter Strickland from Triple-A Sacramento.
Analysis: McGehee, who was acquired from the Miami Marlins in December, was hitting .200 with nine RBIs in 35 games for the Giants. McGehee, who has more than five years of major league service time, said he was not ready to decide whether to accept the assignment to Sacramento.
The Los Angeles Angels placed Morin on the 15-day disabled list Sunday with a strained muscle on his left side.
Analysis: The 24-year old Morin walked off the mound in Saturday's 8-3 loss to the Boston Red Sox after throwing a pitch. Manager Mike Scioscia said before Sunday's game that he didn't have a timetable for Morin's return.