Boil the somyeon noodles in boiling water, then rinse with cold water.
Julienne the cucumber and carrot into thin strips.
In a bowl, mix soy milk, soy sauce, vinegar, salt, and pepper together.
Place the cooked somyeon noodles in a bowl and pour the soy milk sauce over them.
Top with the julienned cucumber and carrot, then drizzle with perilla oil.
Sprinkle with sesame seeds to finish.