Subway's Eat Fresh Refresh menu changes start July 13 at restaurants nationwide. Subway is giving away one million free subs from 10 a.m. to noon local time Tuesday, July 13. Subway tuna is not changing as part of the menu revamp despite claims the tuna doesn’t contain fish. If you were planning on a Subway sub for dinner, plan to get it early Monday. Ahead of the chain's new menu launch Tuesday, Subway says its more than 10,000 restaurants will close early Monday at 6 p.m. local time. "As part of the Eat Fresh Refresh unveil, Subway fans are being asked to take a break from eating their favorite sub on July 12," the chain said in a news release, noting the early closing time will give employees time to refresh and get ready for the launch.