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Russian football club Torpedo Moscow has taken part in many European competitions since the 1960s, including the European Cup, the UEFA Cup Winners' Cup, the UEFA Cup, and the UEFA Intertoto Cup.
The furthest the club has gone in a European competition was reaching the quarter-finals of the 1990–91 UEFA Cup, beating GAIS, Sevilla, and AS Monaco, before losing to Brondby on penalties. The club has participated in European competitions 20 times, with the first coming in the 1966–67 European Cup and the last in the 2003–04 UEFA Cup.
| Season | Competition | Round | Opposition | Home | Away | Aggregate |
|---|---|---|---|---|---|---|
| 1966–67 | European Cup | First Round |  Inter Milan
|
0–0 | 0–1 | 0–1 |
| 1967–68 | UEFA Cup Winners' Cup | First round |  Motor Zwickau
|
0–0 | 1–0 | 1–0 |
| Second Round |  Spartak Trnava
|
3–0 | 3–1 | 6–1 | ||
| Quarter-finals |  Cardiff City
|
0–1 | 1–0 (0–1 playoff) | 1–2 | ||
| 1969–70 | UEFA Cup Winners' Cup | Preliminary Round |  Rapid Wien
|
0–0 | 1–1 | 1–1 (away goals) |
| 1973–74 | UEFA Cup Winners' Cup | First Round |  Athletic Bilbao
|
0–0 | 0–2 | 0–2 |
| 1975–76 | UEFA Cup | First Round | Napoli
|
4–1 | 1–1 | 5–2 |
| Second Round |  Galatasaray
|
4–2 | 3–0 | 7–2 | ||
| Third Round | Dynamo Dresden
|
0–3 | 3–1 | 3–4 | ||
| 1977–78 | European Cup | First Round |  Benfica
|
0–0 | 0–0 | 0–0 (1–4 pen.) |
| 1978–79 | UEFA Cup | First Round |  Molde
|
4–0 | 3–3 | 7–3 |
| Second Round |  Stuttgart
|
2–1 | 0–2 | 2–3 | ||
| 1982–83 | UEFA Cup Winners' Cup | First Round | Bayern Munich
|
1–1 | 0–0 | 1–1 (away goals) |
| 1986–87 | UEFA Cup Winners' Cup | First Round |  Haka
|
2–2 | 3–1 | 5–3 |
| Second Round | Stuttgart
|
2–0 | 5–3 | 7–3 | ||
| Quarter-finals |  Bordeaux
|
0–1 | 3–2 | 3–3 (away goals) | ||
| 1988–89 | UEFA Cup | First Round |  Malmo
|
0–2 | 2–1 | 2–3 |
| 1989–90 | UEFA Cup Winners' Cup | First Round |  Cork City
|
5–0 | 1–0 | 6–0 |
| Second Round |  Grasshopper
|
1–1 | 0–3 | 1–4 | ||
| 1990–91 | UEFA Cup | First Round | GAIS
|
4–1 | 1–1 | 5–2 |
| Second Round | Sevilla
|
3–1 | 1–2 | 4–3 | ||
| Third Round | AS Monaco
|
2–1 | 2–1 | 4–2 | ||
| Quarter-finals |  Brondby
|
0–1 | 1–0 | 1–1 (2–4 pen) | ||
| 1991–92 | UEFA Cup | First Round | Hallescher FC
|
1–2 | 3–0 | 4–2 |
| Second Round | Sigma Olomouc
|
0–2 | 0–0 | 0–2 | ||
| 1992–93 | UEFA Cup | First Round |  Manchester United
|
0–0 | 0–0 | 0–0 (4–3 pen.) |
| Second Round | Real Madrid
|
3–2 | 2–5 | 5–7 | ||
| 1993–94 | UEFA Cup Winners' Cup | First Round |  Maccabi Haifa
|
1–0 | 1–3 | 2–3 |
| 1996–97 | UEFA Cup | Qualifying Round |  Hajduk Split
|
2–0 | 0–1 | 2–1 |
| First Round |  Dinamo Tbilisi
|
0–1 | 1–1 | 1–2 | ||
| 1997 | UEFA Intertoto Cup | Group Stage | Merani-91 Tbilisi
|
– | 2–0 | 1st |
 Iraklis Thessaloniki
|
4–1 | – | ||||
 Floriana
|
– | 1–0 | ||||
| Ried
|
2–0 | – | ||||
| Semi-finals | Auxerre
|
4–1 | 0–3 | 4–4 (away goals) | ||
| 2000–01 | UEFA Cup | First Round | Lausanne-Sport
|
0–2 | 2–3 | 2–5 |
| 2001–02 | UEFA Cup | First Round | Ipswich Town
|
1–2 | 1–1 | 2–3 |
| 2003–04 | UEFA Cup | Qualifying Round |  Domagnano
|
5–0 | 4–0 | 9–0 |
| First Round |  CSKA Sofia
|
1–1 | 1–1 | 2–2 (3–2 pen) | ||
| Second Round | Villarreal
|
0–2 | 1–0 | 1–2 |