Get your prep done before you start cooking: Bring a large sauce pan with salted water to a boil. Grate the garlic cloves and ginger.
Heat oil over medium in a large pot. Add garlic and ginger, sauté for 30 seconds. Pour in chicken broth and coconut milk. Add soy sauce, fish sauce, sesame oil, brown sugar, Thai red curry paste and lime juice. Stir until the red curry paste is dissolved. Bring to a boil and simmer for 5 minutes.
Meanwhile, add gyozas to the sauce pan with boiling water and cook according the package directions, about 2-3 minutes. When ready, drain.
Divide the gyozas between plates, serve with hot coconut soup. Top with chives or your favorite toppings. Add veggies for a hit of green. Enjoy!