01 - Preheat a grill or grill pan to medium-high heat, approximately 375°F to 400°F.
02 - In a small bowl, whisk together the olive oil, minced garlic, dried oregano, sea salt, and freshly ground black pepper until well combined.
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 hot grill and cook for 4 to 5 minutes per side until fork-tender with distinct grill marks.
05 - Grill the tomato slices for approximately 2 minutes per side, cooking just until softened without losing their structural integrity.
06 - Arrange the grilled eggplant and tomato slices on a serving platter in alternating overlapping layers for an attractive presentation.
07 - Drizzle with balsamic glaze and scatter the basil chiffonade over the top. Serve immediately while warm or at room temperature.