Pre-heat the oven to 220C/425F/Gas 7.
Heat two tablespoons of oil in a pan and fry the tomatoes for a few minutes. Season and transfer to the oven for 8-10 minutes.
Meanwhile, coat the goats' cheese in flour, dip in the egg and coat in the breadcrumbs. Repeat this process to give a second coating.
Heat two tablespoons of oil in a non-stick frying pan and fry the breaded cheese for 2-3 minutes on each side, or until golden.
To make the chutney, heat the grapes, vinegar, chilli flakes and sugar in a pan for 4-5 minutes, stirring occasionally.
Transfer the roasted tomatoes to a serving plate and the fried cheese on top. Spoon the grape chutney alongside, to serve.