First, bring a large pot of salted water to a boil.
Next, add jarred sun dried tomatoes, water, red wine vinegar, tomato paste, minced garlic, and salt to a blender. Blend on medium speed until smooth, about 30 seconds to 1 minute.
Transfer the sauce to a large sauté pan and warm over medium-low heat until lightly steaming, about 2 to 3 minutes. Crumble ¾ of the goat cheese into the sauce and stir to incorporate as the cheese melts, about 3 to 4 minutes. Then turn heat to low to keep warm.
While the sauce warms, boil the potato gnocchi until a few begin to float to the top of the pot. Use a spider strainer or slotted spoon to scoop them out of the pot, and check for doneness by gently pressing into the gnocchi with a fork (if they are soft, they are done cooking). Transfer the cooked gnocchi to the sauce.
Stir to combine gnocchi with the goat cheese tomato sauce, then remove from heat. Plate with a garnish of crumbled goat cheese and a fresh sprig of basil, and serve immediately.
Notes
Tomato paste: Did you know you can easily freeze tablespoon-size portions of unused tomato paste, so you don't have to open a whole can just to throw most of it out? Simply measure out tablespoonfuls and dollop them on a parchment paper-lined tray that will fit in your freezer. Freeze for about 1 hour, then transfer to an airtight bag for storage in the freezer until needed!Buying gnocchi: We recommend looking for a local Italian market to buy authentic handmade gnocchi from for the best taste and texture. If you can't easily find this, the best store-bought alternatives are the Nuovo Pasta (Whole Foods) and Delallo (Target) brands!Serving suggestions: This decadent gnocchi pairs well with fruity wines (white or red) and a side of fluffy Italian bread for sopping up the sauce.Storing & reheating leftovers: If there's any of this gnocchi left, you can store it in an air-tight container in the fridge for up to 4 days. Simply reheat in the microwave and enjoy!