In a medium bowl, whisk together the soy sauce, olive oil, lemon juice, orange juice, honey, minced garlic, grated ginger, sesame oil, black pepper, and salt until well combined.
Place the tuna steaks in a resealable plastic bag or a shallow dish. Pour the marinade over the tuna steaks, ensuring they are evenly coated. Seal the bag or cover the dish and refrigerate for at least 30 minutes or up to 2 hours for more flavor.
Preheat your grill pan or grill to medium-high heat (about 400°F/200°C). Add a little oil or cooking spray to prevent the tuna from sticking.
Remove the tuna steaks from the marinade, allowing any excess to drip off. Discard the marinade.
Grill the tuna for 2-3 minutes per side for rare to medium-rare doneness. Adjust the cooking time based on your preferred level of doneness, but be careful not to overcook, as tuna can become dry quickly.
Transfer the grilled tuna steaks to a serving platter. Garnish with thinly sliced green onions and sesame seeds. Serve with lemon wedges on the side for squeezing over the fish.