I would like to know a reasonable and average cost of utilities for a 2-bedroom apartment in Southern Italy. Also, what is a reasonable range of cost (lowest to highest in dollars) for the cost of water, electricitiy, and gas per month?
It depends a lot on your use patterns. Many buildings don't have individual meters for heating, then you have to stick with the building pattern.
I'm sorry that I cannot give you exact estimates, but want to warn you that electricity and natural gas costs are much higher in Italy (and all of Europe) than in the United States, so take that into consideration whenever you do come across figures so that they don't surprise you.
This site "Expats in Italy" is very useful for those thinking of living and/or buying property in Italy. You can ask specific questions on their Forums. http://expatsinitaly.com/