Parmesan and Parsley Fritters

Name: Parmesan and Parsley Fritters
Ingredients: 2 1/4 Pounds fresh, ripe, and very red tomatoes, quartered; 4 sprigs basil; 1 medium-sized red onion, peeled and quartered; 1/4 Cup plus 1 tablespoon extra-virgin olive oil; 2 cloves garlic, peeled and smashed lightly using the flat side of a knife; Salt and freshly ground black pepper, to taste; 1 Teaspoon sugar (optional); 5-7 Ounces stale bread, crust removed; 1/4 Cup parsley leaves; 1 clove garlic; 3 medium-sized eggs, plus more as needed; 2 Cups finely grated Parmesan; Salt and pepper, to taste; Sunflower oil, for deep-frying