
Add the milk, chopped chocolate, cocoa powder and sugar to a saucepan and heat, stirring occasionally until the chocolate has melted and sugar dissolved.
Mix the cornstarch with 2 tablespoons of milk and add that to the hot chocolate. Continue to heat the hot chocolate while stirring until thick and smooth.
Turn off the heat and stir in the Frangelico or liqueur of choice.
Pour the hot chocolate into small mugs and top each one with a scoop of vanilla ice cream and serve.