Prepare the salsa by mixing the avocado, onion, garlic, tomato, parsley, jalapeño, lime juice, olive oil, salt and pepper. Reserve in the fridge while you cook the sausages.
Cut the sausages lengthwise so they open like a book (be sure not to cut them all the way through).Grill the sausages, away from direct flame. Open the rolls just before the sausages are ready and place them on the grill to toast them up.
To serve, lay the sausages in the rolls and top with the avo-salsa.