Separate the wine (do not discard it!) of the marinade from the other ingredients.
Pour the wine into a pot and heat it until it starts to simmer. Meanwhile, pour the other ingredients in a dutch oven with the olive oil and cook over low heat until the vegetables are soft and translucent.
Add the double concentrate tomato paste.
Now add the beef cheeks along with the vegetables and cook stirring until all the meat is sealed in all its parts.
At this point, add the wine, raise the heat and bring to simmering.
As soon as the wine starts to simmer, cover with the lid, transfer the pot on the smallest heater operated at idling and cook about 3 h and 30 mins, until the meat is tender and well cooked.