01 - Preheat a grill or grill pan to medium-high heat, approximately 400°F.
02 - In a small bowl, combine the olive oil, minced garlic, dried oregano, sea salt, and freshly ground black pepper. Whisk until well blended.
03 - Using a basting brush, generously coat both sides of each eggplant and tomato slice with the marinade mixture, ensuring even coverage.
04 - Place the eggplant slices on the preheated grill. Cook for 4 to 5 minutes per side until fork-tender and prominent grill marks appear. Transfer to a platter.
05 - Arrange the tomato slices on the grill. Cook for approximately 2 minutes per side until just softened but still holding their shape. Transfer to the platter.
06 - Arrange the grilled eggplant and tomato slices on a serving platter in alternating layers. Drizzle with balsamic glaze and sprinkle with fresh basil chiffonade before serving.