I think they would probably be ok in the same room. but in different cages. It can be hard to predict how birds will react to others. The caiques might just accept him, or they might be aggressive to an 'intruder' in their territory.
So I would use sperate cages and see how they react to each other. After they have time to get used to each other, you might try letting them out at the same time whem you can watch them.

Karen
Chico (conure) and Pippin (budgie)
WI

Karen is right. In the same room may be fine but not at all in the same cage. Eclectus parrots are a very friendly bird & as a baby can get hurt by the territory issues the caique might have. Over time this will eitehr cause your ekkie to withdraw or learn to become aggressive itself & it isn't in their nature to be an aggressive bird.

You can find out more about ekkies here:
www.eclectusparrots.net
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Kim
Cricket normal grey male tiel
Eddie RS x SI male eclectus
Squash Female sun conure

www.eclectusparrots.net

Australia