Whisk the dressing ingredients together until well combined, then place to one side.
Heat the grill to high.
Drizzle ½ dsp olive oil over the slices of bread, then rub with the garlic. Place under the grill until golden, then turn and repeat the other side. Cut into squares (or hearts!)
Lay the lettuce leaves out onto a serving platter, or 2 plates, then place the avocado, cucumber and smoked salmon on top. Sprinkle over the parmesan shavings, the croutons, and black sesame seeds, if using.
Pour the dressing over the smoked salmon caesar salad just before serving.