For the salmon, freeze fillets briefly, then cut into thin slices with a sharp knife. Arrange decoratively on a plate and season with salt and pepper.
Mix oil and lime juice in a bowl and then drizzle over salmon. Sprinkle with sesame seeds and lime zest. Rinse cucumber, cut into thin slices and arrange decoratively on the plate. Cut leek into longer pieces and small rolls. Serve salmon garnished with basil and chives.