Heat oven to 425°F. Arrange eggplant slices on a parchment-lined baking sheet, drizzle with 2 tablespoons olive oil and season with salt. Roast for 20 to 25 minutes, flipping halfway, until golden brown and tender.
Blend basil, pine nuts, garlic, and parmesan in a food processor. While continuing to blend, drizzle in 1⁄3 cup olive oil until smooth. Season with salt and set aside.
Layer roasted eggplant, tomato slices, and brie on a heatproof serving platter. Place under the broiler on high for 20 seconds, just until the cheese begins to soften and melt.
Drizzle with basil pesto and sprinkle with parmesan before serving.