Prepare a large skillet on high heat. Add 3 tablespoons of olive oil and get hot. Add the peppers, 1 tablespoon of oregano, 2 tablespoons of balsamic vinegar and let cook for 6 minutes, mixing often. Place in the salad bowl.
Add the remaining olive oil, balsamic vinegar, oregano, salt and honey into the salad bowl and mix well.
Add the lettuce, hearts of palm and pumpkin seeds right before serve. Mix well. Serve warm, room temperature or cold