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1
Mix 1/2 cup of the sugar in 2 1/4 cups of the hot coffee until it dissolves.
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2
Pour into a shallow lidded container and cool.
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3
In a bowl, combine the remaining 1 1/4 cups coffee and 1/2 cup sugar with cocoa powder; stir until the sugar dissolves to make a syrup, cover, and refrigerate.
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4
Whisk together the condensed milk, light cream, creme fraiche, vanilla and salt, and pour into a shallow lidded container.
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5
Place both shallow lidded containers in the freezer for 2 hours.
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6
Remove condensed milk mixture (ice cream) from the freezer, and whisk vigorously, breaking down the ice crystals until the texture is smooth.
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7
Return to freezer to set firm before scooping, about 4 hours or overnight.
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8
Remove coffee mixture (granita) from freezer and rake the surface with the tines of a fork to form icy crystals.
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9
Return it to the freezer and repeat this raking every hour for about three more hours, until the texture is free-flowing but completely crystalline.
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10
At this point, it may be frozen overnight.
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11
Rake over again before serving to loosen.
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12
To serve, place scoops of the ice cream into glasses or bowls, alternating each scoop with coffee granita.
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13
Douse with coffee syrup, scatter with chocolate shards, if using, and serve immediately.