I can only guess. But when things come to a head, somebody will have to make the next move. Most likely it'll be on the Barca side, but possibly also on the player side.
The reason there's been no progress recently is because Barcelona have nothing to lose and £17m to gain by waiting to see if FdJ will blink first. I'm fairly certain he won't, though, because he seems to have the legal advantage. Though if his club can somehow conjure up with a way to afford to keep him for next season, that's probably what will happen.
Either way, it's a game of chicken that'll carry on until the end of the window. That'll be when Barca have to finally accept they need to make a decision. Their accountants will be the ones who have the final say and they're seemingly working to a September deadline.