In a bowl, mix the flour with all the ingredients except the butter.
Cut the cold butter into small pieces and add to the flour mixture. First rub the dough with your hands until it is crumbly, then quickly knead everything into a smooth dough. Knead just until all the ingredients are well combined.
Form the dough into a roll and place in the fridge, airtight, for at least an hour.
Preheat the oven to 180°C top/bottom heat and line a baking tray with baking paper or a baking mat.
Using a knife, cut the cold dough roll into 35-40 pieces, shape each piece into a ball and place on the baking sheet, a few centimeters apart.
Before baking, make small indentations in each ball with the end of the handle of a wooden spoon. Since the dough is still cold, it will tear if you make the indentations too quickly. It is therefore better to work slowly and carefully.
Bake the angel eyes in the preheated oven for 8 minutes.
Immediately after baking, you can carefully rework the indentations with a wooden spoon and then let the angel eyes cool down completely.
Cut the nougat into small pieces and slowly melt over a water bath. When it is liquid, fill it into a piping nozzle, pour it evenly into the indentations of the angel's eyes and leave to cool.