Think we will get a Final Fantasy XIV-2 in the future?

[Risvertasashi]

Or will FFXIV eventually end soon? I know they wanted to wrap up the current storyline, but they expressed interest in doing another new storyline after it?

"Eventually end soon"?

But in short, no. The market is not favorable to MMORPGs right now, SE is still running FFXI and has said several times they don't want more MMORPG projects to manage. I'd expect 14 has at least another decade left in it, if not longer.

They also hinted in an interview that they'd sooner overhaul FF14 than start a new game, even though that would be a project of unprecedented scale. (But personally I'd love to see this - though I do love FF14 and it's modern by MMO standards, by the standards of other games it definitely is not and I'd love to see it brought up to par).

[Eldevern]

Since the creator of the franchise has said "one day the Final Fantasy licence will end", I'm not even sure there will be any FFXVI. XV has been shortened (two DLC abandoned) and there's absolutly nothing about the two AAA licence SE is working on. All we know is at least one in a brand new licence.

No trailer means we can't expect any release before 2022 or even 2023.

SE seems to prefer to remaster old FF rather than to build a new one. That's the main reason I start to doubt there will be any brand new FF (and the fact Agni's Philosophy hasn't been followed by an announce of new game).

And if there is a new MMO, I expect and brand new story rather than any FFXIV-2