Step 1

Preheat oven to 200C. Divide carcasses and wings between 2 oven trays, rub with oil, season to taste and roast until golden (40-50 minutes). Pour off fat (discard), scrape juices and caramelised bits into a large saucepan along with carcasses and wings. Add vegetables, garlic, thyme, peppercorns and 3 litres cold water and bring to the boil over medium-high heat. Skim scum from surface, reduce heat to low and simmer gently until stock is very well flavoured (4-5 hours). Strain 2.2 litres into a wide saucepan over medium heat and simmer until reduced by almost half (30-40 minutes). Season to taste, keep warm.

Step 2

Meanwhile, for chicken and parmesan tortellini, process flour and eggs in a food processor to combine. Turn onto a work surface, knead until smooth (3-5 minutes), wrap in plastic wrap and set aside to rest (30 minutes). Combine remaining ingredients (except eggwash) in a bowl, season to taste and set aside. Divide dough into thirds, and working with one piece at a time, feed through pasta machine, starting at the widest setting then reducing setting notch by notch and folding and rolling as you go, until pasta is 3mm thick. Cut out 7cm-diameter rounds with a pastry cutter, place on an oven tray dusted with flour and cover with a damp tea towel. Working with one round at a time, place 1 tsp chicken mixture in the centre, brush edges with eggwash, fold in half to form a semi-circle and press to seal. Brush straight edge of pasta with eggwash, bring together and press to seal. Return tortellini to tray.

Step 3

Cook tortellini in batches in a saucepan of boiling salted water over medium-high heat until al dente (2-4 minutes). Drain, transfer to bowls, ladle broth over, season to taste, scatter with tarragon and parmesan and serve with rye bread.