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You don't mention the size of these balls. The above link will show you a picture of the little yellow mushrooms that are fairly common in houseplants. If, however, the balls are much smaller, about 1/16th of an inch, and rolling around free in the soil, not attached to anything, they are probably slow-release fertilizer pellets.

Also, if you don't want to use pesticide, you can flood with water. You'll need to put the plant in the bathtub or out in the yard for this. Pour in several times the volume of soil,i.e. if you have a 1 gallon pot, use 5 gallons of water, let it drain out completely, then put the plant in isolation. The water should make the worms crawl out looking for a drier field. Just make sure to test the soil all the way to the bottom of the pot, making sure it's not too wet, before you water again.

While there are occasions when we almost have to use a -cide (fungicide,etc), if poisons can be avoided, I think they should be. There are a couple of things you can try, if you want to get rid of your mushrooms. 1) dig them up, and keep digging every time they appear;2) scrape off the top 2 or 3" of soil, and replace with sand;3) don't keep you plants so wet. The last is the most important - mushrooms are a good sign that your plants' soil has too much moisture. The soil from half way down the pot, or more, should be tested for moisture before every watering, and it should be almost dry - just barely sticking together if you squeeze it between your fingers - before watering again.