I asked if there is another process besides evaporation which deposits salt. You seem to be confirming that there is not.
No there is none countries have serched for it for years whit no progress, all desalination plants work on the same principle evaporate the water and leave the salt behind, then cool the water so it is drinkable. It is a very costly process but necesery in some regions of the world.
There is some work going on on forward osmosis though it is still on the drawing board.