Stir in flour to create a roux with the onions and oil mixture. Cook until it forms a film on the bottom of the pot.
Add the Caraway stock to the roux and simmer until thickened.
Prepare the parsley pesto by blending walnuts, cheese, garlic, salt, pepper, and parsley. Add vinegar to taste.
Serve the soup hot, garnished with a dollop of parsley pesto. Enjoy with cheesy Romanian biscuits on the side.
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