6ouncesfresh mozzarella, cut into 1/4-inch slices, halved, and patted dry
4chicken breasts, about 1 1/2 to 2 pounds (see note)
2largetomatoes, cored and cut into 1/2-inch slices
In a small bowl, combine the basil, vinegar, garlic, 1/2 teaspoon salt, and 1/2 teaspoon pepper. Slowly whisk in the oil until it is thoroughly incorporated. Transfer 3 tablespoons of the vinaigrette to a bowl and toss in the fresh mozzarella pieces, coating the cheese with the vinaigrette. Set aside. Reserve the remaining vinaigrette for the cooked chicken.
Pat the chicken pieces dry with a paper towel and season both sides with salt and pepper. Grill the chicken and tomatoes on a hot charcoal or gas grill until the chicken is browned and cooked through and the tomatoes are lightly charred, about 2-3 minutes per side (depending on the thickness of your chicken and heat of the grill). Transfer the cooked chicken to a platter. Top with the tomato slices and drizzle with the reserved vinaigrette. Cover the chicken with an even layer of mozzarella and tent the platter loosely with foil. Let the chicken rest for 10 minutes. Serve.
Chicken: the chicken breasts should be on the thinner side of things. If you have gargantuan, thick chicken breasts, slice them in half horizontally, giving you two thinner chicken breasts. All in all, you should end up with 4-6 thinner pieces of chicken. Tomatoes: also, look for tomatoes that are ripe but still firm so they will hold their shape on the grill.