
Whisk oil, lemon juice, pomegranate molasses, tomato paste, Aleppo-style pepper, and biber salçasi in a small bowl to combine; season dressing with salt and black pepper.
Cook bulgur according to package directions. Let cool until just warm. Transfer to a medium bowl and mix in dressing.
Meanwhile, toast walnuts in a dry small skillet over medium heat, tossing often, until golden brown, about 4 minutes. Transfer to a cutting board. Let cool slightly, then finely chop.
Add walnuts, tomatoes, cucumber, scallions, parsley, mint, and pomegranate seeds to bulgur and toss well; season with salt and pepper.
Arrange lettuce leaves in a single layer on a platter and spoon some salad into each leaf.