Minestrone alla Genovese

Ingredients

• 1 ounce dried porcini mushrooms
• 1 onion, minced
• 1 clove garlic, minced
• 1 leek, trimmed
• 2 celery stems, chopped
• 2 carrots, peeled and chopped
• 4 tablespoons Extra Virgin Olive Oil, plus more for finishing
• 3 zucchini, chopped
• 3 fresh or canned tomatoes, chopped
• 2 potatoes, peeled and chopped
• 1 eggplant, chopped
• 1 small savoy cabbage, chopped
• 1/2 pound fresh green beans, trimmed
• Salt
• pepper
• 1 (15-ounce) can Cannellini or Borlotti Beans
• 6 ounces dry Rigati or Orzo
• 4 tablespoons Pesto Basil
• Freshly grated Parmigiano Reggiano, if desired