Bring a large pot of salted water to a boil and cook the gnocchi according to the package directions.

Add basil, garlic, vinegar, and salt into a food processor or blender.

With the processor running on low- medium speed, pour the olive oil in, in a steady stream and continue to process until well blended. You may need to stop the processor to scrape down the sides a couple times.

In a large bowl, add the gnocchi, pesto, and sliced tomatoes.

Stir to combine, and serve.