In a medium bowl, beat eggs well using a wire whisk. Add the flour, salt and 1 1/2 cups of water. Beat to a smooth paste.
Slowly add in remaining water and beat until the mixture is the consistency of heavy cream.
Coat an 8-inch skillet with nonstick cooking spray. Place it over medium heat. Pour 2 Tbsp. of batter into the pan and tilt the pan around until the batter evenly covers the bottom of the pan.
When the edges of the crepe begin to curl up, flip it over using a flexible rubber spatula or offset spatula. Cook an additional 30 seconds. Remove from heat.
Combine the Parmesan cheese and nutmeg in a separate bowl. Sprinkle the center of each crepe with 1-2 Tbsp. of Parmesan mixture. Roll up and place, seam side down, into a shallow bowl.
Cover with hot chicken broth. Sprinkle with additional Parmesan cheese and cracked black pepper, if desired.