Údolí was formerly part of the German Empire. In the German Empire, the place was called Zech.
The place is now called Údolí and belongs to Czech Republic.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Zech | Austro-Hungary | Elbogen | before the Treaty of Saint-Germain |
| Cecha | Austro-Hungary | Elbogen | before the Treaty of Saint-Germain |
| Cecha | Czechoslovakia | Loket | after the Treaty of Saint-Germain |
| Zeck | Czechoslovakia | Loket | after the Treaty of Saint-Germain |
| Zech | German Empire | Elbogen | 1938 |
| Údolí | Czechoslovakia | Sokolov nad Ohří | 1945 |
| Údolí | Czechoslovakia | Sokolov | 1992 |
| Údolí | Czech Republic | Sokolov | 1993 |