Panini with chicken and tomatoes. Combine a tablespoon of mayonnaise, a tablespoon of tomato sauce, ½ lemon juice, and chopped basil. Brush the bottom of the panini bun with this mixture. Place the boiled or smoked chicken and tomato slices on top of it. Sprinkle with grated cheese and cover with the other half of the bun. Fry the panini for 3-5 minutes in a cast iron skillet, pressing down on top with a lid or other skillet. A crust will form on the bottom, and the cheese will melt inside.