Prepare a charcoal grill, or heat a gas grill to high.
Wash the zucchini and trim the ends. Using a mandolin or vegetable peeler thinly slice the zucchini lengthwise. Toss the zucchini with 1/3 of the olive oil, gray salt and pepper, to taste. Quickly grill the zucchini ribbons on 1 side, until lightly marked and wilted, about 1 to 2 minutes. Remove to a plate or a baking dish and let cool slightly.
When slightly cooled toss zucchini in a bowl with the remaining ingredients except nuts, if using and Parmesan. Spread onto a serving platter, top with pine nuts, if desired and shave Parmesan over the top. Eat and enjoy.