Cook rice in salted water.
Peel courgettes and halve lengthwise. Remove seeds and scoop out most of courgette flesh. Mix well courgette flesh with mince.
Chop onion and garlic finely and braise lightly in a pot. Add mincemeat and fry all some minutes more. Mix well rice with mincemeat. Cover a gratin dish with butter and pour in strained tomatoes, add basil leaves.
Spice courgettes with salt and pepper and stuff them. Put them into gratin dish and cover with cheese. Heat oven to 200°C and bake about 45 - 60 minutes.
Put crougettes on plates.
The sauce season to taste with salt, pepper, rosemary, oregano and refine with a stock cube.