In a bowl toss the broccolini in olive oil until well coated.
Heat a grill pan on medium high heat and spread the broccolini out evenly (you may need to cook them in batches to ensure everything cooks properly). Allow them to cook for approximately 6 minutes, turning them half way through cooking to ensure they brown and slightly char on both sides. Once they finish cooking place them on a plater and repeat cooking with the remaining broccolini until all cooked.
Once the broccolini in finished cooking add the lemon halves to the grill and cook cut side down for 3-4 minutes until girl marks form.
In a blender or nutribullet container combine the tahini, red wine vinegar, lemon juice, garlic and water and blend until smooth. Add a splash more water if the sauce looks too thick.
Place the broccolini on a serving platter, drizzle with the tahini sauce and sprinkle generously with the Malden salt, sunflower seeds and sesame seeds. Garnish with the grilled lemon halves and optional lemon zest before serving.