Eggs In Purgatory

Name: Eggs In Purgatory
Prep time: 5 min
Total time: 5 min
Cuisine: American
Ingredients: 1 tbsp. extra-virgin olive oil; 2 garlic cloves, thinly sliced; 3 anchovy filets, chopped (optional); 1/2 tsp. crushed red pepper flakes, or less, depending on heat preference; 1 (28-oz.) can whole tomatoes; 2 tbsp. butter; Kosher salt; Freshly ground black pepper; 1 sprig basil; 1/4 c. freshly grated Parmesan, plus more for serving; 6 room temperature large eggs; 3 basil leaves, torn, for garnish