In a large pot, fill with enough water to cover the pasta once added and bring to a boil. Cook the soba noodles according to the manufacturer's instructions, about 4 minutes.
Drain and transfer noodles immediately into an ice bath to stop the cooking process. Drain the cooled noodles and lightly dry on a paper towel.
In a large bowl, combine soba noodles and all of the cut vegetables and set aside.
In a medium-sized bowl, whisk together all of the soy dressing ingredients except for the sesame oil and grapeseed oil.
Gradually add the sesame oil and whisk until combined. Then slowly add the grapeseed oil and whisk until combined into an emulsified dressing.
Pour dressing over the soba salad and add sesame seeds and cilantro, toss to combine.