Asiago Wedges 8 OZ. Heritage: Asiago derives its name from a small town in northern Italy. In Italy, Asiago usually means Asiago Fresco (fresh), which has a mild flavor and semi-hard texture. In Wisconsin, cheesemakers age Asiago to develop sharper flavors. It resembles a cross between sharp white Cheddar and Parmesan. Description: Flavor changes from mild when young to sharp, buttery and nutty when aged. Flavor similar to a blend of aged Cheddar and Parmesan. Texture changes from elastic and firm to hard and granular with age. Serve as a table cheese; shred or grate into cooked dishes.