Vesuvius is in the Campania (Compania Map) region of Italy, known for its great food, in part because of the fertile soil of the slopes of Vesuvius.
The towns destroyed in the 79 AD earthquake make interesting trips as well. The ash and lava that covered Pompeii and Herculaneum preserved them to an extent not usually seen in Italian archaeological sites.
The Amalfi Coast is a World Heritage Site and one of the most popular destinations in Italy. See an Amalfi Coast Map to get your bearings and travel information.

