1. Break the spaghetti into small pieces, throw them into boiling salted water, and cook until they are al dente. Drain and transfer to a bowl. Add the chopped ham, cheese, eggs, pepper, salt, and pepper.
2. Mix the preparation carefully with a wooden spoon; form cakes and flatten them slightly. In a pan, heat the oil and butter, then add the spaghetti cakes. Cook until they are uniformly golden brown.
3. Remove the cakes from the oil, place them on a paper towel to absorb the grease. Arrange on a hot serving plate, then serve.