Preheat a grill to high.
When the grill is hot, grill the chicken breasts, turning to mark on both sides, until an internal temperature of 165 degrees F, about 8 to 10 minutes, depending on your grill. Remove from the grill and allow to rest briefly before carving each portion into thin slices.
When ready to serve, place 2 lettuce leaves on each of 4 plates, and fan the chicken slices on top of the lettuce leaves. Garnish each plate with 1 1/2 ounces of the mango, 1 1/2 ounces of the papaya, 1 1/2 ounces of the pineapple and 5 marcona almonds. Drizzle 2 tablespoons of the Lemon-Ginger Vinaigrette over each salad and serve immediately.
Yield: about 3 cups