The only way that Gilgamesh can beat Enkidu is to get him inside the city.
Enkidu may be a master at hunting, but nobody has ever beaten Gilgamesh at hand to hand fighting. But Enkidu is no fool. How can Gilgamesh persuade him? The food in the city is almost gone and time is running out!
Should Gilgamesh taunt Enkidu, calling him a coward? Or impress Enkidu with the power and grandeur of his magnificent city? Or send out prostitutes to weaken him through sex? Or show him the ease and comfort in a city, make him soft and weak? Or do something else?