Catherine Full Body is an updated version of Catherine which was released on 2011 and was a PS plus game in May 2013.
This new version includes a new character called Rin for Vincent (the main character) to romance and an online multiplayer for the games awesome dream sequence puzzle climbing section, apparently the original garnered a cult following and there were local multiplayer tournaments played at larger events, thankfully online multiplayer will make finding matches easier.
The trial seems to include the first 2 days and may be in Japanese only, I will report back after I've tried the trial.
Here's my quick recap from memory of Catherine if you haven't played it before so don't read on if you don't want to know.
The main character is Vincent, he's dating someone called Katherine, he hangs out in a bar, he then gets involved in a love triangle with a stranger called Catherine, (a square with Rin in Full Body) based on how you answer cryptic questions in dream sequences which feature cool climbing puzzles determines which character you end up with, Or if you get both, or if you end up king of Hell.
I'm looking forward to this game, check out the trailer below.