Entre 1958 et 1965, l'Union a participé
au Fair Cup
(Coupe des Villes de Foires - devenu la Coupe de l'UEFA)
1958-1960
| Union | Leipzig | 6-1 |
| Leipzig | Union | 1-0 |
| Union | AS Roma | 2-0 |
| AS Roma | Union | 1-1 |
| Union | Birmingham City | 2-4 |
| Birmingham City | Union | 4-2 |
| Union | AS Roma | 0-0 |
| AS Roma | Union | 4-1 |
| Union | Hearts | 1-3 |
| Hearts | Union | 2-0 |
| Marseille | Union | 1-0 |
| Union | Marseille | 4-2 |
| Zagreb | Union | 2-1 |
| Union | Zagreb | 1-0 |
| Zagreb | Union | 3-2 |
| Juventus | Union | 1-0 |
| Union | Juventus | 0-1 |