
The name for their barbecue is grigliata (it contains the pesky -gli sound, which is similar to the -ll in "million".) Although they don't disdain the use of "barbecue," especially if it's a home affair.
In Italy they grill practically everything. Meat of course, but also veggies (eggplants-yikes!- as seen in the photo, are good), fish, and polenta. Here is a good starting place for an Italian cook-out, by Kyle Phillips, in his Italian food site on about.com.
Other picnic or outdoorsy items may be found in the recipe section of my blog. This may be a good time to try the Northern Italian spritz as your refreshing drink.