Psychic Detective Series Vol. 1: Invitation - Kage kara no Shoutaijou

Katsuya Furuyagi is more than just a private investigator with a troubled past. He is also a psychic detective - a person who possesses extraordinary powers which allow him to "dive" into minds of people. One day he is contacted by the wealthy Shiratori family; their youngest member, the sixteen-year-old Asami, has lost her consciousness under mysterious circumstances and cannot recover. Furuyagi has to use his special abilities and learn more about the family's secrets in order to bring the girl back.

[From Moby Games]