| Exeter | | 1977 | | Second Round | 02-10-1977 | | Plymouth Pilgrims | Exeter | 5-3 | | 1978 | | First Round - Group A | 05-11-1978 | | Pelynt | Exeter | 0-4 | | Second Round - Group A | 03-12-1978 | | Exeter | Plymouth Pilgrims | 1-3 | |
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| 1979 | | First Round - Group A | 04-11-1979 | | Exeter | Kingsteignton | 5-2 | | Second Round - Group A | 02-12-1979 | | Exeter | Pelynt | 5-0 | | Third Round - Group A | 13-01-1980 | | Plymouth Pilgrims | Exeter | 3-2 | | 1980 | | First Round - Group A | 05-10-1980 | | Exeter | Plymouth Pilgrims | 1-2 | | 1981 | | First Round | Bye |
| Second Round | 01-11-1981 | | Exeter | Chard | 10-0 | | Third Round | 06-12-1981 | | Pelynt | Exeter | 4-2 | | 1982 | | First Round - Group A | 10-10-1982 | | Exeter | Tiverton | 4-3 | | Second Round - Group A | 07-11-1982 | | Exeter | Newport | 7-3 | | Third Round - Group A | 05-12-1982 | | Exeter | Illogan | 4-3 | | Fourth Round | 09-01-1983 | | Exeter | Friends of Fulham | 1-6 | | 1983 | | First Round - South West Group | Bye |
| Second Round - South West Group | 06-11-1983 | | Exeter | Illogan | 3-3 | | Second Round - South West Group | 13-11-1983 | | Illogan | Exeter | 2-0 | |
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| 1984 | | First Round - Group A | 07-10-1984 | | Exeter | C&C Southwick | 1-2 | | 1985 | | First Round - Group D | Bye |
| Second Round - Group D | 03-11-1985 | | Exeter | Exeter Rangers | 6-1 | | Third Round | 01-12-1985 | | Southwick | Exeter | 1-0 | |
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| 1986 | | First Round - Group D | 05-10-1986 | | Bridge Youth Club | Exeter | 0-21 | | Second Round - Group D | 02-11-1986 | | Exeter | Taunton Trident | W/L | | Third Round | 07-12-1986 | | Leasowe | Exeter | 2-1 | |
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| 1987 | | First Round - Group D | 20-09-1987 | | Exeter | Truro City | 1-0 | | Second Round - Group D | 04-10-1987 | | Exeter | Frome | 2-1 | | Third Round | 01-11-1987 | | Exeter | Cardiff | 2-2 | | Third Round | 08-11-1987 | | Cardiff | Exeter | 1-2 | | Fourth Round | 13-12-1987 | | Exeter | Abbeydale | 1-6 | |
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| 1988 | | First Round - Group D | 25-09-1988 | | Truro City | Exeter | 14-0 |
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