Enigmatic and obscurant, a film noir bathed in gloom and dreams within dreams, its “story” carried by voice-over narration, “The Possessed” is an Italian murder mystery all but conceived as a “cult picture.”

It had multiple titles — “La donna del lago (The Lady of the Lake)” in Italy, “Love, Hate and Dishonor” on U.S. TV, and “The Possessed,” as it is titled today. It was title-checked in Quentin Tarantino’s 1960s pop-culture Easter egg basket “Once Upon a Time…in Hollywood.”

Co-directors Luigi Bazzoni and Franceso Rossellini are largely forgotten figures now. The sound appears to be all post-production looped, and the star — Peter Baldwin — had bit parts in films and American TV, but a few starring roles in Italian films in the ’60s, before coming home and working steadily as a director of TV sitcoms for decades.

The film is basically an attempt at art house Hitchcock, something tried in a few Italian films of the era. This obscurant and somewhat mesmerizing film grabs and holds one’s interest, and not just the racier bits sometimes edited out for American TV.

Baldwin plays Bernard, an award-winning novelist who is fresh off a break-up, needing an off-season vacation. He’s a regular at a hotel by a lake which his family used to visit when he was young.

There was this blonde there, Tilde, a housekeeper at the hotel. Bernard must have been infatuated with her. Why else would he ring for her, only to get a different housekeeper? He sees a coat he recognizes and knows she is near. He fantasizes or perhaps remembers spying on her lovemaking through a crack in a door. Or perhaps he was her lover.

In any event, he is determined to track down this beauty (played by Virna Lisi). And then, after others have avoided his questions about her, he gets the news. She died.

“Suicide,” the hotelier (Salvo Randone) sighs. “Poison.”

But the poison in her mouth and her stomach didn’t kill her, the conspiracy-minded local photographer (Pier Giovanni Anchisi) tells Bernard. Her throat was cut!

That sends Bernard on a downward spiral of “investigation,” perhaps for a new book, and dreams in which he imagines a couple of men as Tilde’s lover — the hotelier, and his butcher son (Philippe Leroy).

The hotelier’s daughter (Valentina Cortese) has a shifty way about her. The butcher’s wife (Pia Lindström) is hidden from public view, mysteriously driven to walk the lake shore late at night.

What’s going on here? Why are so many “clues” and suspects introduced in dreams? Is the guy who runs the hotel in town really “powerful” and capable of covering up a crime?

Asking questions, however obliquely, doesn’t so much provide Bernard with answers as allow him to dream out many scenarios, with none of them provable in court, not that the police are all that interested in re-opening this “banal suicide.”

Co-directors Bazzoni and Rossellini (the nephew of legendary director Roberto Rossellini) prioritize mood over mystery, but one reinforces the other in this puzzling narrative. The film is often mentioned as belonging in the genre of lurid “Giallo” murder mysteries and violent tales of ’60s Italian cinema. But it’s rarely anything more than a film noir that struggles to make sense.

The hoary voice-over device is novelistic, better at telling us Bernard’s state of mind than at helping him solve this mystery.

“The Possessed” is designed to frustrate, to make us wonder if Bernard feels responsible for this death and if this ties into his break-up, by phone, with another woman before making the trip.

It may make more sense in its slightly longer version, and Lisi is a fiery, beguiling screen presence, even in this. But this is a limp thriller that reminds us that sometimes a “cult film” is less interesting than the reasons a cult formed around it in the first place.

Rating: unrated, violence, sexual situations

Cast: Peter Baldwin, Salvo Randone, Pia Lindström,
Philippe Leroy, Pier Giovanni Anchisi, Valentina Cortese and Virna Lisi

Credits: Directed by Luigi Bazzoni and Franceso Rossellini, scripted by Giulio Questi, Luigi Bazzoni, Franceso Rossellini and Ernesto Gastaldi, based on a novel by Giovanni Comisso. An American International release now on Tubi

Running time: 1:25 on some prints, 1:35 on others