Blend the strawberries then push the resulting puree through a sieve to remove some of the seeds. Tip the sieved puree into the blender again and add the ice, rum and lime juice. Blend again and divide the mixture between 2 Martini glasses.
Thread the lime slices and strawberry halves onto the cocktail sticks and place onto the edge of the glass, serve immediately.
Sweet treatTaste the mixture once blended, if it's a bit bitter for your tastes, add in a teaspoon of sugar and stir through.