Pound galangal, lemongrass, onion, garlic, shrimp paste, and dry chili into a smooth curry paste.
Heat coconut milk in a pan until aromatic.
Add the curry paste and cook until the oil separates.
Add remaining coconut milk and bring to a gentle simmer.
Season with sugar and soy sauce.
Add kaffir lime leaves and cook briefly.
Taste and adjust seasoning before serving.