Reservations will be accepted starting on June 18 Currently, the only dining reservations available at Walt Disney World are for restaurants at Disney Springs. Some resorts are set to reopen on June 22, and those resorts will have select restaurants open. Reservations for those restaurants can be made starting on June 18 by calling 407-824-1391. There is a catch. You must have a reservation at a Walt Disney World Resort in order to obtain a dining reservation. This is for guests who are staying any time between June 22 and July 10. You can see the list of restaurants that are supposed to be open here.