Preheat oven to 350 degrees F (175 degrees C). Lightly grease or line 10 muffin cups.
In a medium bowl, combine eggs and bananas. In a separate bowl, mix together flour, salt, sugar and baking soda. Stir banana mixture into flour mixture. Fold in walnuts if desired. Pour batter into prepared muffin cups.
Bake in preheated oven for 20 to 25 minutes, or until a toothpick inserted into center of a muffin comes out clean.