Remove eggplant from the grill and let cool.
Once the eggplant is cool enough to handle, peel away the skin and discard. Place the eggplant flesh in a colander and drain for 10 minutes. In a food processor, combine garlic, lemon juice, tahini and parsley and pulse to combine. Add the eggplant flesh. Season with salt and pepper and pulse to combine. Adjust the flavor with more Tahini or lemon juice if you prefer. If it's bitter, some sugar or honey will help. Research shows that the white variety of plant is sweeter in flavor.