You can; it makes it creamier, and more caloric.
I'd say add fresh chopped basil to tomato soup towards the end of the cooking process
Condensed soup means that it has had the water removed, so for the proper consistancy one adds back the water that was taken out. If you substitute milk for the water, you end up with cream of tomato soup, not tomato soup.
you cook the tomato soup in a pan and slowly pour in the milk while stirring over medium heat
You may be referring to condensed soup, to which you usually add water or milk.
Cambells TOMATO SOUP
When cooking with normal milk it will curdle. Always use evaporated milk in recipe when possible. Evaorated milk can be used instead of cream as it is lower in fat. however if substituting evaporated milk with regular milk, remember that evap milk is called evap milk for a reason. for 1 Cup of regular milk, you must only use 1/2 Cup of evap milk and 1/2 Cup of water. mix the 2 together and it should work in the recipe. i have never had a problem with this.
The first flavor of condensed soup, sold commercially, was tomato soup
Add the milk to the cooking soup before it gets hot and allow it to heat with the rest of the ingredients.
You can still eat it, even though it doesn't look very appetizing. There are a couple of factors that can contribute to the curdling that you can attempt to control for in the future. One is the lower the fat in the milk product, the more likely the curdling. You can easily increase the fat level by adding butter to the milk. It won't do wonders for your diet or your figure, but it will improve the taste and mouth feel of a cream based soup. The second is, only add the milk at the end of the soup making process, and add it after the soup has been removed from the flame (and preferably when the soup has cooled towards room temperature). If that can't be done, temper the milk before adding -- start with room temperature milk, and spoon small amounts of the soup into the milk mixture, stirring, to bring the milk up to the temperature of the soup gradually. When reheating, don't BOIL the soup. Another is to try to avoid using milk near its expiration date, the older the milk is, the more likely to curdle. (I accidentally discovered this myself, and started heating milk in the microwave to test whether it was still good or not. Its far more predictive than my sense of smell is.) Acid can also cause curdling, and with a tomato based cream soup, this can also be problematic. I believe I've read that you should add a tablespoon of starch (cornstarch, potato starch, etc.) to the milk, incorporate it in well, and then add to the soup. Of course, the starch will add a thickening element to the soup, and you need to keep that in mind.
how do i make zesty tomato soup
You could add milk, cream or butter to decrease the acid in tomato juice.
You can make tomato soup without a carrot. I would do it this way: I put rice into boiling water, 1 choped potatoe and pealed tomatoes. You can add an onion and paprika. Then any spices you like.