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 black pepper. Whisk until evenly blended.
03 - Using a basting brush, generously apply the marinade to both sides of each eggplant and tomato slice, 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 - Arrange the tomato slices on the grill and cook for approximately 2 minutes per side until just 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 the balsamic glaze over the arranged vegetables and scatter the fresh basil chiffonade on top. Serve immediately while warm or at room temperature.