Creating pesto eggs is a straightforward process. Follow these steps to achieve the perfect dish:

1. Whisk Eggs: In a bowl, crack the eggs and whisk them lightly. If desired, add the milk or cream for extra creaminess.
2. Mix in Pesto: Add the fresh basil pesto to the eggs and whisk until well combined. Season with salt and pepper according to your taste.
3. Heat the Pan: Place a non-stick skillet over medium heat and add olive oil or butter. Allow it to melt and coat the pan evenly.
4. Pour the Egg Mixture: Pour the egg and pesto mixture into the hot skillet.
5. Cook Gently: Allow the eggs to cook undisturbed for about a minute. Then, using a spatula, gently stir the eggs, scraping from the edges to the center.
6. Continue Cooking: Cook for an additional 2-3 minutes, stirring occasionally until the eggs are softly scrambled but not overcooked. They should be fluffy and slightly creamy.
7. Serve Warm: Immediately remove the pan from heat once the eggs are cooked to your desired firmness. Transfer them to plates.
8. Garnish: Sprinkle with grated Parmesan cheese if desired. Add halved cherry tomatoes or fresh greens for added color and nutrition.

These steps will guide you through preparing incredible pesto eggs that promise a delightful breakfast experience.