After the sixth layer is in place, spoon the cooled spinach mixture into the pie, spreading with the back of the spoon to make a smooth surface. Repeat the layering process with the remaining six sheets of phyllo.
When the final layer is in place and has been oiled, trim off the excess pastry with kitchen shears or scissors, leaving about 1 1/2 inches of pastry extending beyond the rim of the pan.
Brush the excess edge of the pastry with water, then roll inwards to form a border around the rim of the pie. Brush the border with the remaining 1/2teaspoon of oil.