In a saucepan, add a can of evaporated milk with the sugar and heat until it boils. Remove from the stove and add the cocoa and the chocolate drops. Mix with a wire whisk until the chocolate and cocoa melts. Let cool.
A large container pours the other can of evaporated milk, coffee, vanilla, coconut cream, rum and coffee liqueur and mix. Add the milk with the chocolate and cocoa and mix. Bottle and leave in the refrigerator until serving time.
NOTE: You can mix the ingredients in the electric blender.