Lightly oil grill and preheat barbecue to medium-high. Grill peppers and tomatoes, turning often, until skins blister. Place in a bowl and cover. When cool, remove skins and seeds.
Finely chop half the peppers and half the cucumber; set aside. Place remaining pepper, cucumber and tomatoes in a food processor along with garlic, vinegar, parsley, hot sauce and broth; purée until smooth. Transfer to a large bowl. Stir in reserved chopped pepper and cucumber. Cover and refrigerate until well chilled.
Divide between bowls. Garnish each with 1 tsp (5 mL) red pepper tapenade.