Spray the vegetables liberally with Veggie Wash and allow to sit for a few minutes. Give them a good rub and then rinse off thoroughly. Allow to dry and then chop as directed.
Transfer the chopped vegetables to a large baking sheet, drizzle with olive oil and season liberally with salt and black pepper and fresh thyme. Roast in a preheated 425°F oven until browned and tender, about 40 minutes.
Carefully remove the vegetables from the oven and add to a large pot. Stir in the tomato paste and Calabrian chili paste if using. Add the vegetable broth and bring to a simmer. Remove the pot from the heat and then blend the soup until smooth either in a blender or with an immersion blender. Return to low heat and stir in the half and half.
To make the grilled cheese, lay out all the bread slices on a work surface and sprinkle half with some of both cheeses. Top with scallions and chiles and then sprinkle on the remaining cheese. Place the top bread slice and then spread with softened butter. Cook, a few at a time, in a hot griddle or pan until golden brown and melted. Transfer to a cutting board cut in half and serve with the soup.
To finish the soup, serve in bowls. Drizzle with olive oil and garnish with black pepper and scallions. Enjoy!