Remove the skin and seeds from the kabocha pumpkin and cut it into small cubes.
Lightly grease a muffin mold or cocotte with oil.
Spread the kabocha pumpkin on the bottom.
Crack an egg and place it on top of the pumpkin.
Season with salt and pepper.
Bake in a preheated oven at 180°C (356°F) for 15 minutes.