2 large bell peppers red cut lengthwise into 1 1/2- to 2-inch-wide strips
Equipment
bowl
frying pan
baking sheet
whisk
grill
spatula
panini press
Directions
Brush panini press, panini pan, or grill rack with oil; heat press, pan, or barbecue (medium-high heat).
Brush eggplant rounds and pepper strips with oil; sprinkle with salt and pepper. Working in batches, grill eggplant until tender, turning occasionally, about 6 minutes. Working in batches, grill bell peppers until tender, turning occasionally and flattening with back of spatula for even cooking, about 6 minutes.
Place 8 eggplant rounds and 8 bell pepperstrips on rimmed baking sheet.
Place remaining eggplant and peppers on work surface and slice thinly; reserve for salad.
Place 4 bread slices on work surface. Divide half of Fontina cheese among bread slices; top each with 2 eggplant rounds, 2 tablespoons Parmesan cheese, 1 tablespoon basil, and 1 teaspoon oregano. Top each with 2 bell pepper strips. Arrange remaining Fontina cheese atop peppers, then top with remaining bread slices, pressing to compact. DO AHEAD: Can be made 2 hours ahead. Cover with plastic and let stand at room temperature.
Heat panini press, panini pan, or barbecue (medium-high heat).
Brushpress or pan with oil (if using barbecue, lightly brush bread slices with oil).
Place sandwiches in press or pan or on grill; cover and cook until bread is golden and cheese is melted, about 5 minutes per side.
Meanwhile, whisk 2 tablespoons extra-virgin olive oil and vinegar in large bowl; season to taste with salt and pepper.
Add spinach, thinly sliced eggplant, and thinly sliced peppers; toss to coat. Season salad to taste with salt and pepper.