ESRB has listed Parasite EVE as a PSN release for PSone Classics.
The listing is for the first title. The game was released in Japan back in 1998 for PSX.
Japan however, got both Parasite Eve and Parasite Eve 2 as PSN releases back in November, 2010.
However, we have no date or formal announcement yet and can only wait as more on this emerges.