Step 1Heat the oven to 500 degrees. Slice the tomatoes in half lengthwise and place them on a rack on a baking sheet, cut-side up. Drizzle lightly with olive oil and sprinkle with one-eighth teaspoon salt, or as desired. Roast until they soften and start to caramelize, about 5 to 6 minutes. Cool.
Step 2Reduce the heat to 400 degrees. Toss the chiles in olive oil, season with salt and arrange them on the rack on the baking sheet. Roast until they wilt slightly, 4 to 6 minutes.
Step 3Stack a few pieces of chile on top of each other and thinly slice them. Slice the green onions on an extreme bias, starting at the green end and moving to the root.
Step 4As soon as the eggs are no longer runny, but not completely set, scatter over peppers, the onions and the salame. Distribute the tomato halves evenly across the top and guide the eggs from the pan, so it slips evenly onto the plate. Top with grated Provolone.