Drain the sun-dried tomatoes and set the oil aside. Add the tomatoes along with the rest of the ingredients in a food processor.
With the food processor running, slowly drizzle in the reserved oil until the mixture reaches your desired consistency. You may need more or less oil depending on your preference.
Taste and adjust the flavors as needed. You can add more garlic, parmesan, olive oil, or freshly squeezed lemon juice.