Trim the ends off of the cucumber. Peel the cucumber in alternating stripes, if desired. Slice the cucumber into ½ inch slices. (One large seedless cucumber should yield about 18-20 slices). Set aside.
Add the softened cheese to a bowl and stir until smooth. Add to a piping bag fitted with a tip. Lay a basil leaf on each cucumber slice and pipe a dollop of cheese on top. Add a small spoonful of sun-dried tomatoes. Sprinkle with sea salt and serve.
Notes
Store leftovers, covered, in the fridge for up to 2 days.