For the puree: Combine the shallots, vinegar, peppercorns, thyme, bay leaves, carrots and wine in a large bowl and marinate the mixture in the refrigerator overnight.
Bring the wine mixture to a gentle simmer in a medium saucepan and cook until almost dry. Use a blender to puree the mixture and then add the cold butter and salt.
For the tartar sauce: Mix together the mayonnaise, capers, cornichons, shallots and lemon juice, and then add pepper to taste.
For the burger patty: Mix the onion and thyme with the ground beef and then shape into a patty and stick the bone in to make it look like a chop. Wrap the caul around the patty, which holds the bone in place. Sprinkle the burger on both sides with salt and pepper, and then grill it over a wood fire.
Butter the cut sides of the bun and then grill until toasted. Slather some red wine puree on the bottom bun, place the patty on top and slather some tartar sauce on the top bun; layer in some lettuce and assemble. Serve hot.
This recipe was provided by a chef, restaurant or culinary professional. It has not been tested for home use.
When blending hot liquid, first let it cool for five minutes or so, then transfer it to a blender, filling only halfway. Put the lid on, leaving one corner open. Cover the lid with a kitchen towel to catch splatters, and pulse until smooth.