01 - Set a grill or grill pan to medium-high heat and allow it to reach full temperature before cooking.
02 - In a small bowl, combine the olive oil, minced garlic, dried oregano, sea salt, and freshly ground black pepper. Stir until well blended.
03 - Using a basting brush, generously coat both sides of each eggplant and tomato round with the marinade mixture.
04 - Place the eggplant slices on the grill and cook for 4 to 5 minutes per side until fork-tender with defined grill marks.
05 - Arrange the tomato slices on the grill and cook for approximately 2 minutes per side, just until softened but still holding their shape.
06 - Transfer the grilled vegetables to a serving platter, layering eggplant and tomato slices in an alternating pattern.
07 - Drizzle with balsamic glaze and scatter the basil chiffonade over the top. Serve immediately while warm or at room temperature.