"They both looked good, no problems, just a normal throwing program," said Sox minor league pitching coordinator Ralph Treuel, who has been monitoring their workouts.
Both pitchers will throw side sessions at the complex Tuesday.
Beckett is working his way back from back spasms that caused him to be scratched from his March 8 Grapefruit League start against the Marlins. He pitched in a game Sunday for the first time since then, tossing two innings of a Minor League intrasquad game.
Colon, who signed a Minor League contract in February, is in contention for a rotation spot.
Colon threw three innings in a Minor League game Saturday. His next appearance in a game is expected to be this weekend, when the Sox return to the United States from Japan for three exhibition games against the Dodgers in Los Angeles. Colon is expected to fly to the West Coast with Class A Lancaster's charter flight Thursday to meet up with the big league team.
While Beckett is expected to be placed on the disabled list -- both the pitcher and Sox manager Terry Francona have said it is a good possibility -- no official decision has been made. His next game appearance is expected to be Thursday against a Twins Minor League squad.
Maureen Mullen is a contributor to MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.