Preheat oven to 375°F. Drizzle bread cubes with enough olive oil so they are all very lightly coated. Toss and add salt.
Spread out onto a sheet pan and bake until edges turn brown, 7-10 minutes. Keep a close eye on them so they don't burn, stir and toss them as needed.
Set aside while you prepare the rest of the salad. Can be made several days in advance and stored in an airtight container.
Whisk together all dressing ingredients. Store in the fridge until ready to use. Can be made at least 1 week in advance.
In a large bowl, toss the lettuce with enough dressing to lightly coat the leaves (or to your preference). You may not need all of the dressing.
Add half of the croutons and Parmesan cheese and toss again.
Top with remaining croutons and cheese and serve immediately.