Wash the salmon fillet, remove any skin and chop the salmon meat very finely with a knife. You can also do this with a blender.Put the salmon in a bowl and add the egg, breadcrumbs, salt and dill. Pour the flour onto a flat plate.
Form the salmon into round balls between the palms of your hands and turn each ball in the flour. Leave to rest for a few minutes.
Put the oil in a frying pan and let it heat up. Now add the salmon balls and fry them on all sides for about 5 minutes. Shake the pan from time to time so that the balls turn.
For the sauce, puree all 3 ingredients with a food processor until a smooth mixture is obtained. Serve the warm salmon balls with the pesto as a dip.