1. Parboil the chayotes in salted water for 10 minutes. Drain and carefully scoop out the pulp, leaving at least a 1/4 inch shell. Chop pulp and add 3 cups of bread crumbs, cheese, salt, pepper and eggs. Fill chayote shells with this mixture.
2. Mix the rest of bread crumbs with Parmesan cheese and sprinkle over the stuffed chayotes. Dot with butter. Bake in a 450ยบ oven for 15-20 minutes or until browned.