If you would like a white chocolate rim around the top of your serving glasses, simply melt the white chocolate in the microwave on 50% power, for 1-2 minutes or until just melted.
Dip the glasses into the melted chocolate and place into the fridge for a minute or two to set.
Place the Nutella, Baileys, vodka and milk into a blender or Thermomix.
Blend on low speed until combined. If using a Thermomix, very slowly increase to Speed 3, for 20 seconds, or until just combined.
Place an easter egg into the bottom of 2 serving glasses.
Pour over the chocolate cocktail and serve.