Those who have had the opportunity to complete Final Fantasy XIII-2 would have noticed “to be continued” at the end of game. It had everyone up in arms as this was a first for the franchise but had others believing that we can expect Final Fantasy XIII-3. That does not seem to be the case.
Motomu Toriyama, Director, shed some light on the matter to Japanese Press at the Taipei Game Show. The chance for players to experience all the Paradox Endings was one reason, but the more prominent reason was that DLC has been planned to extend the adventure for players. The first DLC will have players playing with Lightning and Amador in Coliseum Battle mode (which lands 7 Feb on Xbox Live and 8 Feb on PSN).
Sources claim that there is a big Lightning episode incoming and speculates that episodes that involve Snow and Sazh are expected.
Source : Eurogamer