Mix beef with eggs, 1/2 cup salsa, bread crumbs, onion, 1 teaspoon salt, and 1/2 teaspoon pepper.
Pack half the meat mixture flat into a 5- by 9-inch loaf pan.
Cut green chilies into 1/2-inch strips and arrange over the meat. Sprinkle with half the cheese.
Pack remaining meat mixture over chili-cheese layer.
Bake in a 400° oven until well browned, 55 to 60 minutes. Sprinkle with remaining cheese and let stand about 10 minutes.
Cut meat loaf into thick slices and lift out with a wide spatula. Serve with sour cream, remaining salsa, and salt and pepper to taste.
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