1. Round | 03/09/1978 | Hércules CF | - | UD Salamanca | 1:0 | ||||
2. Round | 09/09/1978 | Atlético Madrid | - | Hércules CF | 3:0 | ||||
3. Round | 17/09/1978 | Hércules CF | - | Real Madrid | 1:2 | ||||
4. Round | 23/09/1978 | Espanyol Barcelona | - | Hércules CF | 2:1 | ||||
5. Round | 08/10/1978 | Hércules CF | - | FC Barcelona | 0:2 |