No chest.
Out of curiosity: Why do you want to keep those items, because they're purple even though they're useless to you?
They might be useless at some point, but just a few reasons to keep them for a while before throwing them out:
- staves have elemental properties which cannot be changed as melee weapons through gems, so you must have a weaker weapon but with the best elemental properties for the enemies you are currently fighting
- if you are playing on harder difficulties you may want to save one equipment or another due to some stats a lower gear has while the better gear doesn't. Like bonus to barrier damage
And on higher levels that may become mandatory to test strategies vs performance