Heat a large, dry skillet over medium-high heat. Once the pan is hot, working in batches so as not to overcrowd the pan, add the eggplant slices in a single layer. Cook the eggplant for 6 to 8 minutes, turning occasionally, until the slices are tender and lightly charred. Remove from the skillet and set aside.
To char the tomatoes, place them on a wire rack over an open flame. Cook the tomatoes, turning occasionally, until the skins are fully charred and blackened, about 6 to 8 minutes. Remove from the heat and let them cool.
Once cool enough to handle, peel off the charred skins and roughly chop the tomatoes. Set aside.
Heat the olive oil in a wide non-reactive skillet over medium heat. After 90 seconds, when the oil is hot, add the garlic, cumin seeds, coriander seeds and garlic. Sauté for 1-2 minutes, stirring constantly.
Add the charred, chopped tomatoes, Aleppo pepper flakes, smoked paprika, and the charred eggplant slices and cook over medium heat, stirring occasionally, for 10-12 minutes.
Mash the eggplant and tomatoes with a spoon or spatula until a coarse, thick mixture forms.
Continue cooking uncovered for an additional 7-8 minutes over medium-low heat, stirring occasionally, until the excess liquid evaporates and the mixture thickens. Remove from the heat and stir in the lemon juice, extra virgin olive oil, parsley and salt.
Serve warm or at room temperature. If desired, garnish with olive oil, additional Aleppo pepper flakes, Kalamata olives, lemon wedges, and parsley leaves.