Well, it entirely depends on where you are staying in Italy.
On the French/Italian side you got the Maritime Alps National Park which should be a mix of wild mountains with a mediterrenean flavor.
Up north you got the Mont Viso area which has some nice trails but it can be a bit rainy (during a trip we made overthere in the French Queryas, the only time we had rain was when crossed into Italy to circumvent the Mont Viso.
Further north is de Gran Paradiso National Park which is dominated by the Gran Paradiso itself en should house the largest population of ibex in Europe. Never bin there myself but it's on my list. BTW, camping is strictly forbidden overthere.
On the Swiss Italian side, there's the border with Swiss Wallis which shows the largest concentration of 4000 m peaks in the Alps. Beautifull from the Swiss side, I don't know exactly how it looks from the italian side but you got mountains overthere like the Matterhorn and the Monte Rosa. Further east, there's the lakes area (Como, ...). Then there are a number of smaller ranges like the Adamello, Ortler, etc ... And totally different than the rest are the Dolomites.
If you are able to get it somehow, the book "Walking in the Alps" from Kevin Reynolds (300 pages, publisher is Cicerone) gives a good overview of nearly all the mountain ranges in the Alps with a lot walking sugestions. For detailed descriptions, you would still need a detailed guide but it's a good start.
did you do the green and red part of the VA in Switzerland.