| Date of match | Type of match | Name of team | Name of team | Score | Attendance |
| 3 September 1892 | Scottish FA Cup 1st preliminary round | Albion Rovers | Shettleston Swifts | 9-1 | - |
| 24 September 1892 | Scottish FA Cup 2nd preliminary round | Albion Rovers | Carfin Hibernian | 10-1 | - |
| 15 October 1892 | Scottish FA Cup 3rd preliminary round | Albion Rovers | Port Glasgow Athletic | 4-2 | - |
| 26 November 1892 | Scottish FA Cup 1st round | Albion Rovers | Kilmarnock | 1-2 | - |
| 23 September 1893 | Scottish FA Cup preliminary stage 2nd round | Albion Rovers | Dykehead | 5-1 | - |
| 14 October 1893 | Scottish FA Cup preliminary stage 3rd round | Albion Rovers | Neilston | 7-0 | - |
| 11 November 1893 | Scottish FA Cup preliminary stage 4th round replay | Albion Rovers | Falkirk | 5-2 | - |
| 25 November 1893 | Scottish FA Cup 1st round | Albion Rovers | 2nd Battalion Black Watch | 6-0 | - |
