Peel and finely dice the shallots. Melt 1 tablespoon butter in a pot. Sauté diced shallots in it. Deglaze with white wine and stock. Bring to the boil. Wash the fillets and add to the stock.
Cook over medium heat for 15 minutes. Remove the fillets and keep warm. Let the liquid boil down to half. Beat the remaining butter in flakes. Season to taste with salt, pepper and lemon juice.
Wash the basil, dab dry. Pluck leaves, except for a few for garnishing, cut into strips and add to the sauce. Serve the chicken fillets with the sauce. Garnish with basil leaves and lemon slices and sprinkle with coloured pepper to taste.
It goes well with rice.