Wash the carrots and celery and cut into ½ cm pieces. Roughly dice the onion and garlic.
Heat the oil in a smaller saucepan and sauté the vegetables briefly, pour in the port wine and vinegar and add the thyme. Reduce the liquid to 100 ml over medium heat. Pour through a fine kitchen sieve into a saucepan, pour in the stock and reduce again to approx. 200 ml.
Mix the cornstarch with a little cold water until smooth and thicken the sauce with it.
Divide the figs into 1-1.5 cm thick wedges (if you like, you can peel them beforehand with a peeler - I don`t think that`s necessary) and add to the sauce.
Briefly bring to the boil.
Tastes good with somewhat stronger meat, e.g. game poultry.