| Cork Hibernian v Everton FC 13/08/1958 | View match | |
| Leicester City FC v Everton FC 23/08/1958 | View match | |
| Everton FC v Preston North End FC 27/08/1958 | View match | |
| Everton FC v Newcastle United FC 30/08/1958 | View match | |
| Preston North End FC v Everton FC 01/09/1958 | View match | |
| Everton FC v Arsenal FC 06/09/1958 | View match | |
| Burnley FC v Everton FC 09/09/1958 | View match | |
| Manchester City FC v Everton FC 13/09/1958 | View match | |
| Everton FC v Burnley FC 17/09/1958 | View match | |
| Everton FC v Leeds United FC 20/09/1958 | View match | |
| West Bromwich Albion FC v Everton FC 27/09/1958 | View match | |
| Liverpool FC v Everton FC 01/10/1958 | View match |