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1
Whisk the oil, vinegar, shallots, and oregano in a medium, nonreactive bowl until combined, and then season with salt and pepper; set aside.
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2
Heat a grill pan or outdoor grill to medium high (about 375 degrees F to 425 degrees F).
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3
Meanwhile, arrange the bread slices in a single layer on a baking sheet.
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4
Using 1 tablespoon of the oil, very lightly brush the tops of the bread and season with salt and pepper.
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5
Flip the slices over and brush with 1 more tablespoon of the oil; season with salt and pepper.
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6
When the grill is ready, place the bread on the grill and set the baking sheet aside.
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7
Cook, flipping once, until grill marks appear on both sides and the bread is crisp, about 2 to 3 minutes per side.
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8
Return the grilled bread to the baking sheet and lightly rub one side of each piece with the garlic clove (you will not need to use the entire clove).
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9
Tear the bread into 1-inch pieces and place in a large bowl; set the bowl and baking sheet aside.
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10
Thread the tomatoes and eggplant onto the skewers and place on the reserved baking sheet.
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11
Brush all of the skewers with the remaining 4 tablespoons of oil and season generously with salt and pepper.
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12
Place the tomato and eggplant skewers on the grill and cook, turning occasionally, until the tomatoes are softened and warmed through, about 4 minutes.
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13
Transfer the tomato skewers to the baking sheet.
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14
Continue to grill the eggplant until softened and all sides are slightly charred, about 4 minutes more.
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15
Transfer the eggplant skewers to the baking sheet.
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16
Remove the tomatoes and eggplant from the skewers and place in the bowl with the bread.
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17
Immediately add the mozzarella and basil and toss to combine.
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18
Whisk the dressing again and pour over the salad.
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19
Add the Parmesan and toss to combine.
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20
Serve at room temperature.