Wash the fish thoroughly and dry on a paper towel. Wash and peel the vegetables. Wash the basil and dill, dry on a napkin, and chop with a knife.
Pour 2 liters of filtered water into the pan. Place on the fire and bring to a boil. Cut the prepared potatoes into medium-sized cubes. Place potatoes in boiling water, add salt and spices. Cut the fish into medium-sized slices and place in a saucepan. After boiling, skim off the foam from the surface with a slotted spoon.
Cut the prepared onion into small cubes, bell pepper into thin strips, and grate the carrots on a coarse grater. Place chopped vegetables in a frying pan preheated over high heat with butter and fry for 3 minutes until soft.
After boiling the potatoes and fish for 10 minutes, transfer the roasted vegetables into the pan. Simmer over low heat for 5 minutes. Add the prepared basil, dill and cream cheese and cook for another 3 minutes. Be sure to taste and add salt or spices if necessary. Cheese contains these ingredients; so be sure to season your soup to taste.
Serve salmon soup as a hot first course. When serving portioned, garnish your dish with fresh dill and a sprig of basil, and serve toast or fresh bread with the soup.