Heat grill to medium-high heat. Toss the zucchini in a bowl with olive oil. When the grill hot, lay out the zucchini and grill on each side for 2 minutes, until slightly charred on each side. Remove from the grill to a large platter and set aside.
Carefully slice the cooked corn off the sides of the cob. Sprinkle the corn over the zucchini.
Sprinkle the zucchini and corn with salt, parmesan, pinenuts and basil. Serve immediately.