Many of us, even in adulthood, have gall stones and never come to know about them unless incidentally while investigated for something else. It may remain there without ever causing any problems. So, I would say: 1. The problem is not severe until the child develops pain when immediate action would need to be taken. 2. No surgery required if he does not have pain. Please note that some surgeons might prefer to get it removed. I do not think that is required. 2b. Homeopathic medicines not advised 3. I would not suggest you to try to get the gall stones dissolved. For all practical purpose, they would not dissolve. The composition of the stones may vary. It may be pigment stones or calcium oxalate stones or certain other things. Even if there was a medicine to dissolve one, it would not work on the others. 4. You need not bother about the growth of stones. All you need to bother is that in case ever a pain develops, just rush the child to a hospital with surgical emergency. You need not try to find medicines to stop the growth of the stones. Had there been such a medicine, surely enough you would not have given it to the child throughout his life.