In some cases, Disney indirectly buys back DVC contracts but in cases where a buyer is already under contract for the purchase. When a DVC contract is put up for sale on the resale market and a buyer is located and secured for that contract, Disney could exercise its right of first refusal in order to technically become the buyer and buy back the timeshare points.
Disney makes it very clear that the points need to be listed for sale first and a buyer under contract before they would consider this, as they review the purchase contract to determine if they should step in. They do this to maintain the integrity of prices on the resale market so points are not sold at prices Disney deems inadequate.
So, the first step is to list Disney timeshare points with a licensed broker so a buyer can be found.