Slice the ciabatta roll in half. Brush the outside of the bottom roll with 1 tablespoon of olive oil and place on a hot panini press or grill pan.
Layer the sliced fresh mozzarella, sliced tomato, and basil leaves, then drizzle with balsamic vinegar and season with just a little salt & pepper, to taste.
Brush the top of the ciabatta roll with remaining olive oil and place over sandwich, then lower the panini press lid or place a heavy pan on top of the sandwich in the grill pan over medium heat and press down for 20 seconds, then leave the pan sitting on the sandwich as it cooks. You will need to flip the sandwich if using the grill press once the bottom is toasted in order to grill the other side. Grill until toasted to a golden brown and the mozzarella starts to get a little melted around the sides but is not melted completely through.
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