Using a box grater, shred 1 small/ medium zucchini.
Mix eggs together with Parmesan cheese, 1 Tblsp. EVOO, and s&p .
Heat remaining oil in a 6-8" sauté skillet. Add 1/2 the zucchini and 1/2 basil and sauté for 4-5 minutes. Season with salt and pepper. Add egg mixture to the pan and cook until the top begins to set a bit. Cover with a lid for aprox. 2 minutes and then slide out onto a dish and flip over back into the pan. Cook a few more minutes; Plate and serve.
Notes
Alternatively: Place saute pan under broiler for a few minutes until cooked through.