Preheat your overhead grill (broiler) on its highest setting and place a medium fry pan on a high heat.
Add a generous glug of olive oil and the tomatoes to the fry pan. Simmer for about 7 minutes.
Meanwhile, if the eggplant has been packed in oil, drain on paper towel.
Add eggplant to the tomato and push in to cover with the sauce. Scatter over the bocconcini and grate parmesan over the top.
Place under the hot grill for 4-5 minutes or until the cheese is golden and bubbling.
Meanwhile, combine balsamic and 1 tablespoon olive oil in a small bowl. Season.
Reserve some basil for the eggplsnt. Add the remainder of the basil leaves and the salad to the dressing and toss. Serve eggplant with the extra basil scattered over.