Just watched a doco on this issue by physicist Dr Derek Muller, an Australian-born Canadian. It was called Uranium: twisting the dragon’s tail. Anyway, if I’ve understood correctly, currently something like 95% of that highly-radioactive waste has to be stored. At least one scientist, Dr Leslie Dewan, is working on a kind of reactor that uses much of that waste in processing. Or maybe reduces that waste by like 90%. But those types of reactors are probably at least 10 years away, according to the doco.
(Sorry I’m fuzzy on some of the details. I only watched it five hours ago but it’s now 0345 here and I’m tired. Plus edited to correct the doco’s and other scientist’s names.)