A chess grandmaster is in a big tournament, and when his lover is found painted up and the blood drained out of her body he becomes a chief suspect. After he gets a call from the killer urging him to try and figure out the game, he cooperates with police and a psychologist to try and catch the killer, but doubts linger about the grandmaster's innocence as the string of grisly murders continues.

A woman secretly witnesses the murder of her blind date for the evening by a top Mafia boss. She immediately goes into hiding without informing the authorities. When they finally catch up with her, she is unwilling to testify to what she has seen, but the Mafia are on her trail. Accompanied by a deputy district attorney, the woman boards a train travelling through a remote part of Canada. The Mafia know him but they have never seen her.