Cook the orzo and drain.
Preheat oven to 350 °F / 180 °C.
Lightly beat the eggs with 1 tablespoon of milk.
In a large bowl combine cooked orzo, egg-milk mixture, 3/4 cup tomato sauce and Parmesan cheese.
Spread mixture evenly into an oiled oven-safe glass dish.
Next, squeeze all water out of spinach and chop coarsely.
Mix spinach with ricotta cheese, pine nuts, and nutmeg.
Taste and season with salt and pepper.
Spoon everything onto orzo mixture, spreading evenly.
Then spread remaining tomato sauce on spinach layer.
Bake covered for 30 minutes.
Remove from oven and cover the top of the pie with the shredded cheese.
Return to oven and bake uncovered for an additional 5 minutes until cheese is bubbly.
Allow to rest a few minutes before serving.