Step 1

Prepare a grill for indirect heat. If using a charcoal grill, build the hot coals on one side only. If using a gas grill, heat one side only to medium-high heat.

Step 2

Peel the eggplants lengthwise in 1-inch intervals to create stripes (this helps with oiliness) then slice each eggplant crosswise into 1/2-inch-thick rounds. Add the eggplant to a large bowl with the olive oil. Sprinkle in the oregano and toss to combine. Season well with salt and cracked black pepper.

Step 3

Place the seasoned eggplant slices over direct heat and cook until nicely charred and beginning to soften, 2 to 3 minutes per side. Move the slices over indirect heat to finish cooking as you add more pieces to direct heat. Top each piece with a slice of tomato and a slice of mozzarella. Close the grill and allow the cheese to melt and the tomato to warm through.

Step 4

Remove the eggplant to a baking sheet and grate Parmesan all over the top. Place the baking sheet back on the grill over direct heat to warm up and melt the Parmesan. Transfer to a platter and top with torn basil leaves and a drizzle of olive oil. Serve!