In a bowl, mix the eggs with the sugar and cornstarch until smooth and homogeneous.
Add the vanilla extract and sour cream, then mix well until fully combined.
Line a baking pan with parchment paper. Pour in the mixture, leaving some space for it to rise during baking.
Bake in a preheated fan oven at 175°C for 50–60 minutes.
Check doneness with a toothpick. Once baked, let the pudding cool slightly.
Dust with powdered sugar before serving.