Preheat the oven to 400°F.
In a 13x9-inch baking dish, stir together the cherry tomatoes, 2 tablespoons olive oil and 1/2 teaspoon black pepper.
Push the tomatoes to the sides of the dish then place the block of feta cheese in the center. Drizzle the remaining 1 tablespoon olive oil on top of the feta.
Drizzle the white wine all around the feta then bake until the cheese has softened and the tomatoes are roasted, about 30 minutes.
While the feta is baking, bring a large pot of salted water to a boil. Add the pasta and cook until al dente, 10 t0 12 minutes. Drain the pasta and set it aside.
Remove the baking dish from the oven and using a large spoon, mash the feta and stir it together with the tomatoes. Drain the pasta then add it to the baking dish, stirring well to combine.
Garnish the pasta with the basil and serve.
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