Galloway, a 37-year-old 15-year NFL veteran, was signed by the Patriots as a free agent in March. He played in three games this season and had seven receptions for 67 yards.
Matthews was acquired by the Patriots from the New York Giants in a trade last month. He played in three games as a reserve tight end and on special teams.
(Writing by Steve Ginsburg in New York; editing by Pritha Sarkar; To query or comment on this story email email@example.com)