Preheat the oven to 425 degrees and grease the madeleine molds with butter. If you don’t have a madeleine pan, you can use a mini muffin pan, but the texture will be more crispy.
Combine the dry ingredients (cornmeal, corn flour, sugar, baking powder, salt) in a large mixing bowl.
Combine the wet ingredients (eggs, melted butter and milk) in another bowl.
Add the wet ingredients to the dry ingredients, stir to combine well. Let the mixture rest for 15-30 minutes at room temp to thicken and for the cornmeal grains to soften.
Spoon approximately 1 tablespoon of batter into each madeleine mold, making sure not to over fill.
Bake for 10 minutes, remove from the oven and transfer the Cornbread Madeleines to a serving tray.