Clean, wash and drain the fennel. Halve the fennel lengthwise and cut into thin slices with a slicer or slicing machine. Peel the onions and also slice them into thin slices. Wash parsley, shake dry and cut the leaves into rough strips.
Drain the mini mozzarella balls. Tear salami into large pieces. Mix lemon juice, salt, pepper and sugar, and finally fold in the oil. Mix vinaigrette, fennel, onions, parsley, mozzarella balls and salami. Season to taste with salt and pepper. Arrange in deep bowls