Preheat the oven to 220C/425F/Gas 7.
Mix the paprika and lemon juice in a bowl to combine. Add the pork fillet and allow to marinate.
Heat the oil in a non-stick frying pan and sear the pork for 2-3 minutes on each side. Transfer to the oven and cook for 8-10 minutes, until cooked through.
For the chutney, heat the apple, tomato, oil, vinegar, sugar and parsley in a medium pan for 6-8 minutes until softened.
To serve, allow the pork to rest and then slice on the diagonal. Spoon the chutney alongside and serve with a wedge of lime and drizzle of balsamic vinegar.