Step 1

Combine flour, yeast and 1 tsp salt in a bowl, and make a well in the centre. Add milk, egg and melted butter to well, and mix to form a soft dough. Turn out onto a floured work surface and knead until smooth and elastic (4-5 minutes). Place in a lightly oiled bowl, turn to coat dough in oil, cover bowl with plastic wrap and set aside in a warm place until doubled in size (1-2 hours).

Step 2

For cheese and egg filling, place cheeses, parsley, chives and 1 lightly beaten egg in a bowl, season to taste and mix well to combine.

Step 3

Preheat oven to 250C and line an oven tray with baking paper. Divide dough into 4 equal pieces and, working with a piece at a time, roll out to a rough 15cm x 25cm oval and leave to rest for 15 minutes. Spread a quarter of the filling over each oval, leaving a 2cm border. Fold in border to form a raised edge, then pinch and twist ends to form a boat shape. Transfer to oven tray, brush edges of dough with eggwash and place in oven. Reduce heat to 180C and bake for 10 minutes, then remove from oven and make an indentation in the centre of each boat with the back of a spoon. Crack an egg into each, tuck a few cubes of butter into the filling and bake, swapping and turning trays partway through cooking, until egg sets (4-5 minutes). Top each khachapuri with a slice of butter, scatter with extra chives and serve with lemon wedges.