Peel and dice onions finely. Peel tomatoes, remove seeds and dice them. Cut chives and garlic finely. Cut radishes into thin slices.
Mix well onions, chives, vinegar and oil. Fold in horse radish and season to taste with salt and pepper.
Peel turnip cabbage and cut them into thin slices. Arrange them on plates, spread radishes upon and sprinkle with vinaigrette and balsamic vinegar.