1. Wash and rinse bulgur until runoff water becomes clear. Place prepared bulgur in a large bowl. Add tomatoes to bowl; stir to combine. Allow mixture to sit until bulgur absorbs tomato juice and expands, 30 minutes to 1 hour.
2. Add onion, parsley, mint, and green onions to bowl. Stir to combine.
3. Mix together tomato paste, vegetable oil, and lemon juice in a bowl, stirring until thoroughly combined. Add dressing to salad; mix to coat. Season with salt, ground black pepper, and cayenne pepper to taste.