Wash the asparagus, peel the lower third. To dice. Leave heads whole.
Fry the asparagus in 3 tablespoons of oil for 2-3 minutes until al dente, briefly add the tomatoes previously diced (you can also add a few spring onion rings or garlic if you like), then season with salt and pepper. Chop the basil and add to the other ingredients.
Spread the bread slices on a baking sheet. Drizzle with the remaining oil. Roast on the middle shelf in the preheated oven at 200 ° C for 3-4 minutes until crispy. Then take it out.
Spread the asparagus and tomato mixture on top. Sprinkle with parmesan.