Williams and linebacker Aaron Brule will attend the event with MSU head coach Mike Leach.
Corral and defensive back Jaylon Jones will accompany Ole Miss head coach Lane Kiffin.
This year's event will be the first for both Leach and Kiffin who are both second-year coaches.
The event was canceled in 2020 due to the COVID-19 pandemic.
Media Days will be held July 19-22 at the Hyatt Regency Birmingham-Wynfrey Hotel in Hoover, Alabama.