In latest news, Square Enix has trademarked Parasite Eve in Europe. This is according to a report in the World Intellectual Property Organization database.
The first entry to the Parasite Eve series was in 1998. Since then, there has been another 2 more games, with Parasite Eve II being released in 1999 and The 3rd Birthday being released in 2010. Since then, there has been no activity on the series.
Does this mean that there is a new game incoming? Possibly. I cause we just have to wait and see what Square Enix does hor?