Gather all the ingredients from the list: tagliolini pasta, kimchi, water, cheese of choice, sesame seeds, thinly sliced leek, dry seaweed snack, salt, and sugar. Bring a large pot of water to a boil over high heat. Once the water is boiling add a pinch of salt. Add the tagliolini pasta to the boiling water.
Cook the pasta according to the package instructions until al dente, about 7-9 minutes. Once cooked, drain the noodles and set aside.
In a large skillet or pan, heat a bit of oil over medium heat. Add the kimchi to the skillet, including the juices, and stir well. Allow the kimchi to cook for a few minutes to release it flavors and soften slightly.
Pour the water into the skillet with the kimchi. Season the mixture with salt and sugar to taste. Adjust the seasoning according to your preference. Allow the mixture to simmer gently for about 5-7 minutes, allowing the flavors to blend together and the sauce to reduce slightly.
Once the sauce has thickened slightly, reduce the heat to low. Add the vegan cheese (or any cheese of preference) to the skillet, stirring constantly until the cheese is fully melted and incorporated into the sauce.
Add the cooked tagliolini pasta (or noodles) to the skillet with the kimchi sauce. Toss the noodles in the sauce until it is evenly coated and heated through. Transfer the Chessy Kimchi Noodles to serving plates or bowls.
Garnish with sesame seeds, thinly sliced leeks, and crumbled dry seaweed snack of added flavor and texture. Serve the cheesy kimchi noodles hot and enjoy.