In a blender, combine the lime juice, chili paste, fish sauce, agave, garlic, and soy sauce. Process until smooth and well combined, about 20-30 seconds. Pause and scrape the sides of the blender with a spatula occasionally, as needed.
With the blender running on low speed, slowly drizzle in the sunflower oil until the mixture is emulsified and thickened, about 30 seconds. Add 1 cup of the Sweet Sesame Dressing and process until well combined, about 10 seconds.
Transfer the dressing to an airtight container and refrigerate until ready to use. This dressing will keep nicely in the refrigerator for up to 7 days.