In an 8” nonstick sauté pan, heat 1 tablespoon of the olive oil over medium heat.
Add the potato and cook, turning often, until tender and golden, about 10 minutes. Season with salt and pepper.
Remove the potato slices with a slotted spatula and set aside in a bowl.
Add 1 tablespoon oil to the same pan and fry the zucchini, turning once, until tender and slightly golden, about 4 minutes. Add the basil and season with salt and pepper.
Using the slotted spatula, add the zucchini to the potatoes. Add enough oil to the pan to total 2 tablespoons and return to medium heat.
Add the onion and sauté until soft and tender, about 10 minutes.
Remove with the slotted spatula and add to the potatoes. Add the bell pepper strips to the vegetable mixture.
In a large bowl, beat the eggs until well blended, adding a little of the Parmesan, if using. Add to the vegetables. Pour the mixture into an oiled baking dish.
Bake at 350°F until set and golden, about 25 minutes.
Cut into wedges and enjoy!