Heat a large non-reactive pot over high heat. Add about 3 tablespoons of neutral oil.
Sear the carne asada on both sides for about 3 minutes per side, adjusting heat as necessary to avoid burning the marinade.
Pour some beef stock into the container that held the carne asada to collect the remaining marinade, then add this mixture and the rest of the beef stock to the pot.
Bring to a boil, then reduce heat to a low simmer.
While waiting, remove the cilantro stems and chop the leaves coarsely. Set aside for garnish.
Finely chop the cilantro stems and add them to the pot.
Cover and simmer for 60–90 minutes or until the meat is fork-tender, similar to kalua pork.
Stir in the white vinegar and let simmer for another 5 minutes to mellow out the acidity.
Adjust the consommé’s flavor with salt, pepper, and water as needed.