I assume the reason for your question is that you have been diagnosed with Gall Stones, if this is so then diet is not going to offset the need for surgery.
It is possible that your diet was the cause of the gall stones in the first place, the stones like, pearls in an oyster which grow round a grain of sand, gall stones tend to form around cholesterol.
Unlike kidney stones gall stones cannot be broken up with ultra sound. There is a chemical treatment which can be long and involved and is not considered to be a successful alternative to surgery. Even if mildly successful there is no guarantee the stones will not simply re-grow.
At one time the removal of the gallbladder was considered major surgery but today is a fairly simple keyhole procedure with minimal body invasion and the patient makes a reasonably quick recovery often leaving hospital the day after surgery.
Fortunately, the gallbladder is one of the organs the body can live happily without and after its removal you can rest assured there will be no recurrence of the gall stones.
Why not talk to your own doctor and get them to arrange a meeting with a consultant surgeon who specialises in this type of operation.
Modifying your diet by reducing high fat content foods will help to alleviate the pain in the short term but once there the stones will continue to grow and one day will cause extreme discomfort and in some extremes can be life threatening.
Why take that risk.