Eventually in English means “In the end” or “at the end”.
In Italian, Eventualmente means:
In case (in the event of something happening)
Should ever (something happen)
Eventualmente is a good word to use to avoid committing oneself completely to doing something, as it usually makes a course of action conditional to a certain event occurring first, ie we use it to say we’ll do something but only in the event that something else happens.
Sono sicura che andrà tutto bene e non avremo bisogno di te. Eventualmente ti telefono
I’m sure everything will be ok and we won’t need you.
In case (of any problems) I’ll ring you