Becoming a new work won't be the same as in the original culture, just yet another case of lost in translation.
You might translate saudade to mean home sick, missing someone, missing a place, missing an event, not being able to do something, feeling blue, among a few other possibilities.
However none of them actually express 100% the same meaning as a native Portuguese speaker might be feeling when he/she says that word, because there is a mix of feelings and situations related in that single word.
Or for example, the ways an Eskimo might describe a frozen landscape.