If using a traditional BBQ: Pierce eggplant all over with a fork. Place on a greased grill over medium heat; close lid and grill, turning once, until charred and wrinkled and flesh is softened, about 20 minutes. Let stand until cool enough to handle.
If using an indoor grill: Pierce eggplant all over with a fork. Cut in half lengthwise. Brush entire eggplant with 1 tablespoon of olive oil. Place cut side down on the indoor grill. Set for MAX heat and grill for 12 minutes.
If using the BBQ: slice eggplant open and scoop flesh into a bowl, discarding skin. If using the indoor grill, scoop out eggplant flesh into a bowl, discarding the skin.
Mash the eggplant flesh and let it drain in a fine-mesh sieve for 20 minutes.
In a bowl, combine Greek yogurt, mashed eggplant, minced garlic, lemon juice, 1 teaspoon olive oil, and salt.
Refrigerate for 1 hour before serving.
Garnish with chopped parsley, if desired. This recipe makes about 1.5 cups.
Notes
Serve this eggplant yogurt dip with fresh vegetables, pita bread, or crackers. It's a perfect appetizer for parties or a healthy snack.