Cucumber wash, clean and cut into small cubes. Leek onions clean, wash and cut into fine rings. Core and wash the chilli, cut finely. Dill wash, dab dry and chop finely.
Mix everything together, season with salt, pepper and 1 teaspoon of vinegar. Bring water to the boil in a pot, add 3 tablespoons of vinegar. Lower the temperature. Beat the egg in a cup and let it slide into the water.
Beat the egg white with 2 forks over the egg yolk. Cook the egg in boiling water for about 4 minutes, turning once. Take out with a skimmer and let it drip off on kitchen paper. Wrap Parma ham around the grissini stick.
Pour cucumber salsa into a glass. Serve with egg and ham stick. Serve immediately.