They also reprocess their spent fuel, but due to complicated sciency reasons you can only do that a few times when you're burning it in thermal reactors.
France had plans to move to a closed cycle, which would improve fuel utilization by a couple of orders of magnitude, but their breeder reactor program (required for the closed cycle) has largely stalled (see Phenix, SuperPhenix, and ASTRID which was recently cancelled before it even got off the drawing board).
And no, breeder reactors per se aren't about making weapons-grade material except in the feverish dreams of Greenpeace.
That's an issue for most people. The political pressure was huge to stop the project. The CEA wasn't even that good at manipulating sodium, they got two known major incidents in Cadarache. One quite spectacular with a huge cloud of fire.
I think nuclear power is great to research and the risk is sometimes worth it, but SuperPhénix was too risky.
So you would install a number of BNs in Russia and supply recycled fuel back to exported reactors. Not only you will save money on fuel (well, assuming nuclear fuel will cost more than it does today), but also will reduce amount of nuclear waste for long-term storage (today most of waste from exported reactors has to come back to Russia).
It's good that we research these, but there is no pressing need to take them into use soon.
The kind of reactor most people think of (again, AFAIK) are breeder reactors, or otherwise derived from breeder reactors, which were about making weapons-grade material rather than power, which is part of the reason those designs have the issues everyone (largely legitimately) has with them.