das Territorium
territory
A defined geographical area, especially the sovereign territory of a state or ruler.
Die Armee drang in feindliches Territorium vor.
The army advanced into enemy territory.

territory
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territory
A defined geographical area, especially the sovereign territory of a state or ruler.
Die Armee drang in feindliches Territorium vor.
The army advanced into enemy territory.

You can easily recognize the meaning of 'Territorium' (territory) from the context. If it is about politics, the military, or states, it means sovereign territory. If it is about animals and nature, it means an animal's territory.
Die Verhandlungen über das umstrittene Territorium dauerten Monate.
The negotiations over the disputed territory lasted for months.
In political or military contexts, a territory is often 'beansprucht' (claimed), 'besetzt' (occupied), 'verteidigt' (defended), or 'erobert' (conquered). The combinations 'fremdes Territorium' (foreign territory) and 'feindliches Territorium' (enemy territory) are also common.
Die Soldaten mussten sich aus dem besetzten Territorium zurückziehen.
The soldiers had to withdraw from the occupied territory.
In connection with animals, the verb 'markieren' (to mark) is often used with 'Territorium' (territory). Animals mark their territory in order to claim it and keep other animals away.
Der Bär markiert sein Territorium an den Bäumen.
The bear marks its territory on the trees.
region
'die Region' and 'das Territorium' can both mean a geographical area. However, 'Region' sounds more general and more natural when talking about landscape, culture, climate, or part of a country. 'Territorium' emphasizes more strongly that an area is defined by boundaries and belongs to a state, a power, or an administration. That is why 'Territorium' often sounds more official or political. Learners may confuse the words because both refer to areas. In everyday language, 'Region' usually fits best; 'Territorium' is more appropriate when borders, control, or state territory are important.

Das Territorium des Staates endet an diesem Fluss.
The state's territory ends at this river.
Im Sommer besuchen viele Touristen die Region wegen der Berge und Seen.
In summer, many tourists visit the region because of the mountains and lakes.