I would be extremely surprised that these two ever talk again to each other, sadly.
The feud started in 1985 when Waters left Floyd and Gilmour decided to continue without him. It was harsh, but nothing that drastic that things could not get better with time. Starting 2000, they started to talk again, out of common interest (The Wall live release). In 2005, they played together in live 8. 2011 was maybe the warmest moment, when Gilmour played Comfortably Numb at Waters' wall show in Dublin.
Very nice words by Waters were spoken that night.
Since then, nothing much, then they started to fight again about Animals release, Pink Floyd web site... Still petty, still not that drastic.
But that changed last year, when Waters advocated controversial views on Ukraine. Polly Samson (Gilmour's wife) went bust and publically insulted Waters in a tweet, calling him antisemite, misogynistic, lip-synching performer, Poutin apologist... And Gilmour backed his wife. These words were completely out of proportion. I can understand that one would not agree with Waters's controversial views (I myself do not agree with most of his stuff), but calling him an antisemite makes no sense, just like calling him a fascist because he wears a fascist leader costume when performing Run Like Hell (which he has done since 1980!). Then Waters insulted Polly in return ("Imagine waking up next to THIS").
It has gone way too far to imagine any kind of reconciliation now. Or...are you sure, JF?