First, line a baking tray with baking paper. Preheat the oven to 200 °C hot air.
Roll out the puff pastry and cut out a large circle (with a cake ring or bowl). Place on the baking tray.
Cut the circle on the outer edge eight times at regular intervals of 2-3 cm.
From the center, make cuts at the same angle, also eight times, about 1 cm long.
Spread the pesto between the cuts in the circle and also a little to the outside.
Fold the segments together at the outer edge to form tips.
Press an olive on the inner end of each of the outer tips.
Fold in the inside tips as well (they will stand up when baked).
Sprinkle the pesto with pine nuts.
Brush the pastry tips with the quilled egg.
Bake the puff pastry star for about 10-15 minutes.