Ham choux buns - France

Sift the flour and cut the butter into small cubes. In a saucepan, heat the water with the butter and a pinch of salt. As soon as it starts to boil, remove the pan from the heat and immediately add all the flour, stirring vigorously with a wooden spoon. Cook the mixture until it detaches from the sides of the saucepan. Pour it into a bowl and let it cool. When the mixture is cool, stir in the eggs, one at a time, then add salt and pepper. On a baking tray lined with parchment paper, make small, well-spaced mounds. Bake the buns in the oven at 340°F/170°C for 30 minutes. For the filling: blend the Parmigiano Reggiano and the ham cubes in a food processor to obtain a smooth mixture. On the side, whisk the butter until frothy (to do so easily you should leave the butter to rest for at least one hour at room temperature). Mix in the ham and cheese, a pinch of salt and thyme. Gently fill the choux buns using a pastry bag with a long narrow tip. Serve the buns in a pyramid or each in their individual paper ramekin.