Looking at a Wikipedia article describing a telefilm, I noted the following sentence that describes an event happened in Season 1:
They eventually find and reunite with their father, who reveals that the creature that killed their mother years earlier is the demon Azazel (aka "Yellow Eyes") and the only thing that can kill him is a legendary gun created by Samuel Colt.
I am used to sentences similar to the following one. (Suppose somebody asks me what my work plans are.)
I want to get a job on the local newspaper and eventually work for "The Times."
I understand eventually as introducing an eventuality: It can happen that I will work for The Times, but it could also happen that I will not work for The Times. The previous sentence is different from "I want to work for The Times."
Probably I am influenced from how in Italian we use eventualmente, but I don't understand what eventually would mean in a sentence describing what happens in a telefilm season.