Presumably within the next few thousand years, we’ll figure something out. Meantime, there was a plan afoot to temporarily store large quantities of high-level nuclear waste near the Skull Valley Band of Goshute Indians Reservation in Utah. That plan for interim storage, according to the Salt Lake Tribune, has been officially terminated.
I’m not sure where this idea originated, but apparently all of Utah, including powerful representatives such as Orin Hatch, was against it. It looks like we’re back to Plan A: storing the high level waste at nuclear power plants, until such time as there’s agreement on what to do with it.