Eel needs to be skinned, trimmed of its head and tail, and cut into shortish sections of 3 or 4 inches.
Begin with a good glassful of vinegar in a skillet, which you bring to a simmer. Then place your eel pieces into the vinegar together with one or two cloves of garlic and a mixture of rosemary, sage and bay leaf, minced very finely, almost to a powder. (A spice grinder is especially useful here.) As the pieces simmer in this aromatic mixture, the flesh will begin to stiffen. Turn the pieces so they are evenly coated with the herbs and absorb the vinegar.
Fairly soon, the vinegar will evaporate, at which point you should pour in a generous amount of olive oil, season the eel with salt, pepper and some red pepper flakes. Then add the tomato purée, together with a bit of water, cover the skillet and allow the whole to simmer until the eel is tender, about 15-20 minutes.
Serve immediately with some crusty bread to 'fare la scarpetta' with that delicious pan sauce.