Just Arrived From Italy Extra Large AAA size Chestnuts. Over two thousand years ago, the villages that stretch across Italy's East Coast peninsula have been thick with chestnut trees. This nut is historically significant, even the Romans have planted chestnut trees along their warpath to feed their armies. Although it was once a military staple, this nutritionally rich nut is filled with carbohydrates. The chestnut remains a crucial ingredient to many classic recipes. By the 1500's it became a delicacy. Italy is one of the largest producers of chestnuts, and they are typically roasted, boiled, or pureed. Fresh chestnuts have shiny unwrinkled shells, and feel heavy in your hand.