Głęboka was formerly part of the German Empire. In the German Empire, the place was called Glambach.
The place is now called Głęboka and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Glambach | German Empire | Strehlen | 1939 |
| Głęboka | Under Polish administration | Strzelin | 1945 |
| Głęboka | Poland | Wrocław | 1992 |