Step 1

In a medium-sized saucepan, warm 1 1/4 cups of the milk or water with the sugar, salt, and cocoa powder.

Step 2

Bring to a full boil while whisking, then reduce the heat and simmer gently for 30 seconds.

Step 3

Remove from heat and add the chocolate, the vanilla, and the coffee-flavored liqueur, if using. Stir in the remaining 1 cup milk.

Step 4

Taste, and if the mixture is a bit grainy, puree it in a blender to smooth it out.

Step 5

Chill thoroughly, then freeze in your ice cream maker according to the manufacturer’s instructions.