Cut the ham into small cubes of 5-8 mm.
Grate the cheese on a coarse grater.
Break the chicken eggs into a deep bowl, add cream and flour. Mix everything thoroughly, but do not beat. Salt and pepper the egg mixture.
Add chopped ham to the egg mixture.
Place the frying pan on the fire, grease it with vegetable oil and pour in the egg mixture with ham.
Sprinkle the omelette with cheese and cover with a lid. Cook the omelette over low heat until its surface is set.
Garnish the finished omelette with dill and cherry tomatoes.