Cut red peppers in half lengthwise. Place, cut side down, on foil-lined baking sheet; broil until blistered, 15 minutes. Let stand until cool enough to handle. Peel off blackened skin; seed and cut into strips.
In large bowl, whisk together vinegar, olive oil, mustard, pepper and salt. Add red peppers, chickpeas, salami, olives, onion, carrots, parsley and oregano; toss to coat. Serve on lettuce-lined plates.