Bring a pan of water to the boil.
Pour in the vinegar, then crack the eggs into a spoon and lower into the water, one at a time.
Simmer for 1-2 minutes depending on how you like your eggs cooked.
Place slices of smoked salmon on the muffins, then remove the eggs and place on top of the salmon.
Meanwhile, heat the soft cream cheese in a saucepan until melted.
Add the dill mustard, cream and lemon juice.
Bring to a boil, season with salt and plenty of freshly ground black pepper and serve poured over the eggs.