Preheat the oven to 350°F. Cut six 1-inch wide strips of dough from the sheet of puff pastry. Place a large pie plate on the uncut area of dough, trace a circle around it with a pizza cutter, and then place the round piece of dough in the pie plate.
Heat the milk in a saucepan, add the pudding powder and sugar, and stir everything together with a whisk. Remove the pot from the stove and let the pudding cool down before folding in the crème fraîche. Spread the pudding cream over the puff pastry in the pie pan and use a spoon to smooth it out.
Halve 2 apples, remove the cores, and cut even slices. Place the apple slices in the pudding cream, starting at the outer edge, slightly overlapping, and working your way in.
Take the 6 strips of dough and lay them in between the apple ring layers until the design is complete. Take the last dough strip, roll it up, and place it directly in the center of the pie dish.
Coat the puff pastry with an egg wash and sprinkle brown sugar over the top. Bake the pie for 35 minutes or until golden brown.
Brush apricot jam over the pie while it is still warm.