USSR Cup 1988/89, 1/8 finals |
 | 01.10.1988 | | Torpedo (Kutaisi) | – | Kairat (Alma-Ata) | | 3:0 (1:0) |
| Kutaisi |
USSR Cup 1988/89, 1/16 finals |
| 04.06.1988 | | Chernomorets (Odessa) | – | Torpedo (Kutaisi) | | 0:2 (0:0) |
| Odessa |
USSR Cup 1988/89, 1/64 finals |
| 02.05.1988 | | Torpedo (Kutaisi) | – | Rotor (Volgograd) | | 2:1 (0:1) |
| Kutaisi |
USSR Cup 1987/88, 1/64 finals |
| 06.06.1987 | | Torpedo (Kutaisi) | – | Irtysh (Omsk) | | 2:0 (1:0) |
| Kutaisi |
USSR Cup 1984, 1/32 finals |
| 18.02.1984 | | Torpedo (Kutaisi) | – | Metallurg (Lipetsk) | | 3:1 (2:1) |
| Kutaisi |
USSR Cup 1983, 1/8 finals |
| 03.03.1983 | | Torpedo (Kutaisi) | – | Rotor (Volgograd) | | 3:2 aet
(2:2, 2:2) |
| Samtredia |
USSR Cup 1983, 1/16 finals |
| 25.02.1983 | | Nistru (Kishinyov) | – | Torpedo (Kutaisi) | | 0:2 (0:1) |
| Sochi |
USSR Cup 1981, Zone 3 |
| 26.02.1981 | | Torpedo (Kutaisi) | – | Neftchi (Baku) | | 2:1 (1:0) |
| Leningrad |
USSR Cup 1980, Zone 4 |
| 10.03.1980 | | Torpedo (Kutaisi) | – | SKA (Khabarovsk) | | 3:0 |
| |
USSR Cup 1980, Zone 4 |
| 27.02.1980 | | Torpedo (Kutaisi) | – | Spartak (Ordzhonikidze) | | 1:0 (0:0) |
| Tbilisi |
USSR Cup 1979, Zone 1 |
| 12.03.1979 | | Torpedo (Kutaisi) | – | Zarya (Voroshilovgrad) | | 2:1 (1:1) |
| Tbilisi |
USSR Cup 1979, Zone 1 |
| 06.03.1979 | | Torpedo (Kutaisi) | – | Uralmash (Sverdlovsk) | | 1:0 |
| |
USSR Cup 1979, Zone 1 |
| 03.03.1979 | | Torpedo (Kutaisi) | – | Dynamo (Leningrad) | | 1:0 |
| Tbilisi |
USSR Cup 1979, Zone 1 |
| 28.02.1979 | | Torpedo (Kutaisi) | – | SKA (Rostov-on-Don) | | 3:1 |
| Tbilisi |
USSR Cup 1978, 1/32 finals |
| 04.03.1978 | | Torpedo (Kutaisi) | – | Uralmash (Sverdlovsk) | | 2:0 (2:0) |
| Kutaisi |
USSR Cup 1976, 1/32 finals |
| 21.03.1976 | | Pamir (Dushanbe) | – | Torpedo (Kutaisi) | | 1:2 (0:1) |
| Dushanbe |
USSR Cup 1974, 1/32 finals |
| 06.03.1974 | | Torpedo (Kutaisi) | – | Shinnik (Yaroslavl) | | 2:1 (1:0) |
| Leselidze |
USSR Cup 1970, 1/16 finals |
| 13.05.1970 | | Torpedo (Kutaisi) | – | Lokomotiv (Moscow) | | 3:0 (2:0) |
| Kutaisi |
USSR Cup 1970, 1/16 finals |
| 09.05.1970 | | Lokomotiv (Moscow) | – | Torpedo (Kutaisi) | | 1:2 (0:2) |
| Moscow |
USSR Cup 1961, Soyuz Republics zone 2, final |
| 28.06.1961 | | Metallurg (Rustavi) | – | Torpedo (Kutaisi) | | 1:3 |
| Rustavi |
USSR Cup 1961, Soyuz Republics zone 2, semifinal |
| 22.06.1961 | | Torpedo (Kutaisi) | – | Dynamo (Baku) | | 3:0 |
| Kutaisi |
USSR Cup 1958, Zone 4, quarterfinal |
| 07.07.1958 | | Lokomotiv (Kutaisi) | – | Lokomotiv (Artemovsk) | | 2:1 (1:0) |
| Kutaisi |
USSR Cup 1958, Zone 4, 1/8 finals |
| 02.07.1958 | | Lokomotiv (Kutaisi) | – | Metallurg (Stalingrad) | | 1:0 (0:0) |
| Kutaisi |
USSR Cup 1957, Zone 3, quarterfinal |
| 01.05.1957 | | Urozhay (Stalinabad) | – | Lokomotiv (Kutaisi) | | 0:3 (0:1) |
| Stalinabad |
USSR Cup 1953, 1/128 finals |
| 30.08.1953 | | Dynamo (Kutaisi) | – | Torpedo (Gorkiy) | | 1:0 (0:0) |
| Kutaisi |
USSR Cup 1949, Central zone, final |
| 13.09.1949 | | Dynamo (Kutaisi) | – | Spartak (Tbilisi) | | 3:2 |
| Kutaisi |
USSR Cup 1949, Central zone, semifinal |
| 04.09.1949 | | Dynamo (Kutaisi) | – | Spartak (Yerevan) | | +:- |
| Kutaisi |
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