Cook noodles according to package. Drain and rinse well.
Combine ingredients for the pesto through the salt in a food processor or blender and blend until well combined, adding more olive oil if needed to make smooth. Stir in a small bit of chili paste, taste, and add more if desired (for personal spiciness preference).
In a bowl, combine noodles with pesto. Serve with noodle bowl with sliced hardboiled eggs and a sprinkle of toasted sesame seeds.