Is there a way to dissolve one's gallstones safely?

Yes, but...: Why bother, when the stones may recur after dissolution? If you are dead-set against gallbladder removal, or have medical contraindications to the surgery, then stone dissolution therapy is an option. Can use oral cheno or urso (synthetic bear bile) which is costly and works about 1/2 the time over 6 months (poor candidates have calcified stones), or direct infusion of mtbe into the biliary tree.

Not as good: Agree with dr. Cattano. Stones but no symptoms-no rx. Symptoms-indication for surgery to remove gallbladder. Passage of stone can cause pain, blockage of ducts, infection, and inflammation of pancreas; potentially serious problems, even fatal. Had stone attack and dissolve takes time -up to 2 years; risk of attacks in that time.