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Melt the chocolate in a double boiler, constantly stirring with a wooden spoon to avoid burning. Stir until the chocolate is melted and smooth.Let cool to room temperature.
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In the bowl of an electric mixer fitted with the flat beater, combine the confectioners' sugar, butter, cream, the vanilla and salt and beat on low speed until combined, about 1 minute.Stop the mixer and scrape down the sides of the bowl.
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Increase the speed to medium and beat for 2 minutes, then reduce the speed to low.
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Add the chocolate and beat until combined, then increase the speed to medium and beat for 1 minute more.If the frosting is dry, add more milk, 1 tsp. at a time, until it is creamy but still holds peaks. Makes about 2 cups.