You may be having a sense of deja vu here but Square Enix has trademarked Final Fantasy Agito.
Final Fantasy Type-0 for the PSP was originally named as Final Fantasy Agito XIII, but the name was dropped for some reason. Trademarking the name again in 2013 means that the company could be developing something new for the handheld platforms or maybe even the next gen platforms.
So what could it be? It’s hard to say right now but it’s definitely a game software and based on how the company has been behaving recently, they could very well release it on mobile platforms, so keep your hype low for now.