We had a party of 7 at Palo and they seated us in a private room at the far end of the restaurant. It was great! I think this is only for parties of 6 or more and it looked as if they could seat up to 12 in there. Very private and beautifully decorated. If you want this you need to move fast on embarkation since it obviously has very limited availability.
And by the way, the food was GREAT!!!
Have a wonderful trip!