Peel the carrots, leave some green and wash. Cook the carrots in boiling salted water for 15 minutes. Boil 1/2 litre of water with some salt, add milk. Stir in mashed potatoes and let it swell for 1 minute.
Wash and finely chop the parsley and put something aside for sprinkling. Leave butter to froth. Add parsley and pine nuts. Drain the carrots. Arrange mashed potatoes, carrots and ham on plates.
Pour parsley butter over the carrots and the puree. Sprinkle ham with colored pepper.