Preheat the oven to 200 ° C (convection: 175 ° C).
Bring the milk to the boil until the milk foam rises to the top in the pan. Take the pot off the hob and add the contents of the bag with rice pudding, stirring constantly with a whisk. Stir for 1 minute, then let the rice pudding stand for 10 minutes.
Drain the peaches on a sieve and cut into small cubes.
Mix the brunch, eggs, desiccated coconut and vanilla sugar with the whisk to a smooth mass. Fold in the rice pudding and peach cubes.
Put the rice pudding in a greased casserole dish and bake in the oven for about 45 minutes.