01 - Preheat the oven to 425°F (220°C).
02 - Place cherry tomatoes in a large 9x13-inch baking dish.
03 - Drizzle the tomatoes with extra virgin olive oil, sprinkle with kosher salt and black pepper, and toss to coat evenly.
04 - Clear a space in the center of the baking dish and set the block of feta cheese in the middle.
05 - Transfer the dish to the preheated oven and roast for 30-35 minutes until the tomatoes are bubbling.
06 - With 10-15 minutes left of roasting time, bring a large pot of salted water to a rolling boil.
07 - Add packaged gnocchi to boiling water and cook for 3-5 minutes, removing them as they rise to the surface using a slotted spoon.
08 - Set a colander over the sink and transfer boiled gnocchi to drain.
09 - If the baking dish is broiler-safe, switch oven to broil. Broil for 2-3 minutes, watching closely, until tomatoes blister and feta cheese develops golden spots.
10 - Remove dish from oven. Add minced garlic and chopped basil to the hot tomatoes and feta. Stir to combine, breaking up the cheese and tomatoes with a wooden spoon or spatula to form a chunky sauce.
11 - Add cooked gnocchi to the sauce and toss thoroughly to coat.
12 - Serve immediately, garnished with additional basil if desired.