Place the puree in a cup of an ice cream maker and proceed as recommended. You can use the soft dressing at once or put it in the fridge for a while. Sure, If you don't have an ice cream maker, just place the mixture in a container and put in the fridge, for two hours or so. Whisk with a fork few times.
To make the sorbet, put all the ingredients in a cup of your blender and proceed until smooth. Strain to remove the seeds. Try and adjust the taste by adding more honey or lime juice (depends on the wine you're using).