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Preheat the oven to 390°F/200°C.
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In a pie pan
melt 3 1/2 oz (100g) of butter with 3 1/2 oz (100g) of
sugar and the vanilla extract until it begins to
caramelize. Core the apples and then peel them and cut
them into halves.
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Arrange a layer of apples like rose
petals on the caramel, making sure they are close
together, rounded sides down. Cut the remaining apples
into pieces and cover the surface. Dust with the
remaining sugar and dot with knobs of butter. Bake for
about 35 min.
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Roll out the dough and cut it to the
size of the pan. Prick with a fork and place it on top
of the apples. Replace in the oven for another 15 min,
until it browns.
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Take the pie out of the oven and
pour out a little of the apple juice that was released while they were cooking. Allow it to cool and turn
upside down on a serving dish.
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Prepare the milk
caramel: in a saucepan caramelize the brown sugar mixed
with a tablespoon of water. Add the cream, stirring to
keep the caramel from boiling.
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Cover the pie with the
caramel and serve.