Need recommendation for moderately priced Italian for private party
I need to host a birthday party for 15-20 people on an early evening in December. The guest loves Italian, and I am leaning in that direction. I need somewhere with a private room (or at least private area) where a few fairly well behaved children would not be entirely out of place. Any neighborhood in SF would work. Something on the casual side with a corkage friendly policy and family style meals would be bonuses. Thinking more old school probably, but not necessarily.
Any recommendations would be appreciated.