Via Napoli does have a kids menu. I do not remember everything on it but my daughter had pizza. Sorry not much help but I am sure someone else will chime in with the other options.
We ate there in December and my 18mth old loved the calzone. It was really big too. Just know the calzone has ricotta cheese in it. The waiter warned us before we ordered it but our son will eat it. I'm guessing they've had some upset people at this.
As others have mentioned, they do have a children's menu. Also, even thought I have never heard of this before. Our server said our daughters entre was free. Thats right. On the DDP, with my wife's and my dinner, hers was free.
seriously??? $9.50 for spaghetti and meatballs and does not include drink/dessert like most kids meals do at other WDW restaurants? We do not have ddp and were going to just get pizza/salad for fam of 4 to share. DD informs me that she wants spaghetti!