Preheat a grill or cast-iron skillet over medium-high heat.
Rub the flank steak with half of the olive oil, sea salt, and black pepper.
Grill the steak for 4-5 minutes per side until it reaches your preferred level of doneness.
Remove the steak from the heat and let it rest on a cutting board for at least 5 minutes.
While the steak rests, chop the cucumber into bite-sized pieces and halve the cherry tomatoes.
In a large mixing bowl, whisk together the remaining olive oil, lime juice, toasted sesame oil, and coconut aminos.
Add the cucumber, tomatoes, red onion, mint, and cilantro to the bowl, tossing well to coat in the dressing.
Slice the rested steak thinly against the grain and arrange it over the crisp salad to serve.