In a medium bowl, combine the beef, soy sauce, chile flakes, garlic and 1 tablespoon minced shallots. Marinate for 1 hour at room temperature.
Preheat the oven to 375 degrees F. Put a baking sheet in the hot oven 30 minutes prior to using.
When the baking sheet is hot, carefully remove it and place it on your stove top. Drizzle some olive oil on the baking sheet and toss with the beef and 1 cup sliced shallots. Return it to the oven and roast until the meat is medium rare, about 8 minutes.
Season the spinach and radicchio with olive oil, salt and pepper and spread on a serving platter in a single layer. Place the beef and caramelized shallots on and around the leaves.
Add the red wine vinegar to the baking sheet and scrape off the bits from the bottom. Add the extra-virgin olive oil and whisk the liquids together. Drizzle the salad with the vinaigrette and top with the blue cheese and Pecorino Romano.