In a mixing bowl, whisk together the eggs, milk, salt, and pepper until well combined.

Heat a non-stick skillet over medium-low heat and add the butter, allowing it to melt and foam.

Pour the egg mixture into the skillet and let it sit for a few seconds until it begins to set around the edges.

Gently stir the eggs with a spatula, pushing them from the edges toward the center.

Continue to cook, stirring occasionally, until the eggs are softly set and slightly runny in places.

Remove from heat and let residual heat finish cooking the eggs.

Serve immediately, garnished with additional pepper or herbs if desired.