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Using a food processor, pulse together flour, sugar and salt. Add butter a few pieces at a time. Pulse until mixture is coarse and sandy. Slowly pour in water and pulse until dough holds together.
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Shape dough into 6-inch disc, wrap in plastic and refrigerate 1 hour.
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To make filling, toss together peaches, plums, sugar, flour, lemon zest, nutmeg and salt in medium bowl.
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Preheat oven with rimmed baking sheet to 375 degrees F.
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Dust parchment paper with flour, take chilled dough and roll to 12-inch round. Lift and turn while rolling.
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Brush dough with egg white, leaving a 3-inch border around.
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Arrange fruit on dough, alternating between peaches and plums, leaving a 3-inch border.
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Fold dough up with pleated sides to form a 2 ½-inch border that loosely wraps around fruit.
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Brush top crust with reserved egg yolk and sprinkle with sugar.
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Remove heated baking sheet from oven and gently transfer galette with parchment paper to sheet.
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Bake 45 minutes or until crust in golden-brown.
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Let cool on pan 30 minutes before serving.