Prati and Trieste are considered suburbs of Rome. They offer a mix of residential areas, parks, and commercial zones. 

There are no boomburbs in Italy. 

A potential example of an edge city in Italy would be the areas surrounding Milan's Malpensa Airport or Rome's Fiumicino Airport. Unlike isolated U.S. edge cities, these areas contain business concentrations that might be more connected to the city center. 

There aren't any exurbs in Italy.