For the tomato compote: Bloom the olive oil, garlic and basil in a small saucepan over low heat for 20 minutes. Heat the tomatoes, salt and sugar in a nonreactive pot. Strain the garlic-basil oil into the tomatoes and discard the garlic and basil. Whisk the sauce to emulsify. Simmer for 15 minutes.
Cut the chicken breasts into 4-ounce pieces and gently pound to an even 1-inch thickness. Dredge the chicken in flour, then in egg, then in breadcrumbs. Heat the olive oil and butter in a skillet over medium heat. Add the garlic and thyme, then fry the chicken until golden brown on both sides and opaque in the center. Season generously with salt.
Spoon 1/2 cup of the tomato compote over the chicken. Sprinkle with Parmesan and top with the sliced mozzarella. Transfer the skillet to a broiler to melt and brown the cheese.
Place a piece of chicken on each semolina roll, garnish with Parmesan and torn basil leaves and serve.
This recipe was provided by a chef, restaurant or culinary professional. It has not been tested for home use.