Final answer:
The city of Uruk, associated with Gilgamesh, is located in what is now southern Iraq, and the travels described in the Epic of Gilgamesh would encompass modern-day Iraq, and to some extent Iran, Syria, and Turkey.
Step-by-step explanation:
The question pertains to the travels of Gilgamesh and Enkidu as depicted in the Epic of Gilgamesh, one of the earliest surviving works of literature. While the epic is a mix of myth and legend, the city of Uruk, over which Gilgamesh ruled, was very much real and located in what is today southern Iraq. The modern countries that would encompass the areas described in the epic include Iraq and possibly parts of Iran, Syria, and Turkey, which encompass ancient Mesopotamia and the surrounding regions.
This saga, while full of symbolic and mythical journeys, cannot be mapped directly onto real-world geographies with pinpoint accuracy due to its blend of myth and historical settings. However, the city-states and regions mentioned are representative of the broader Mesopotamian civilization which is spread among these modern countries.