Grate the Parmesan cheese and spread it on a baking tray lined with baking paper by the teaspoonful. Bake in the preheated oven (electric cooker: 200 °C/ convection oven: 175 °C/ gas: level 3) for about 5 minutes.
Wash the basil, shake dry and, except for 1 stem for garnishing, pluck and chop the leaves. Whisk eggs, season with salt, pepper and chopped basil. Heat the fat in a pan.
Add the egg mixture to the pan and push it together again and again over medium heat with a spatula until the egg has set. Arrange scrambled eggs with Parmesan chips in glasses and garnish with basil.