Prepare a sugar syrup by melting the sugar in the water on a low heat until it has dissolved and the syrup thickens. Set aside to cool.
Halve the apricots and remove the stones. Purée the halved apricots with a hand blender and then push them through a fine sieve to remove any skins.
Add the puréed apricots to the cooled sugar syrup. Pour the mixture into the ice cream machine a