Regarding her future projects, “she’s very filmmaker-driven,” Browning says. “And she laments the same thing that all female actresses lament, that there are rarely great roles for women.” Rapace is at low risk for being typecast, because she conforms to no recognizable type. Her face is arresting, with large, alert eyes and cheekbones that seem poised to burst, “Alien”-style, out from beneath her pale skin. She won’t show up in a romantic comedy any time soon, Browning says — “I just don’t know that she responds to those kinds of characters” — but she is not ruling anything out. After I spoke with her in Berlin, Rapace was reunited with Oplev, the director of the first “Millennium” movie, to shoot a thriller in Philadelphia co-starring Colin Farrell, in which she portrays a woman who was disfigured in an accident. She also plans to play opposite her ex-husband in a biopic directed by Catherine Hardwicke, about the romance between the boxer Bo Hogberg and the singer Anita Lindblom.

“I’m terrified of being too famous,” she says. “What I’m really afraid of is that the audiences will go into the theater and not be able to forget that it’s me, that fame will stand in the way of my acting. I want to keep being able to change into different shapes and different personalities.” She says she never wants to play the sexy sidekick and that she still wants to compete with the guys — Leonardo DiCaprio, Josh Brolin, Christian Bale and Michael Fassbender, her “Prometheus” co-star, are among the actors she admires. “They’re not working out of vanity,” she says. “They’re not trying to look hot all the time.”

On my last morning in Berlin, I accompanied Rapace to the “Passion” set, inside an apartment building in a fashionable neighborhood. The set itself was a Euro-creepy bedroom, with scaly black curtains, a round, black bed in the middle, a stuffed bird on a dresser and an open bathroom. Because of the room’s small size, most of the crew huddled in the hall, while De Palma and the cinematographer José Luis Alcaine sat in chairs in the back of the room, near the camera and monitor. It was a post-sex scene that Rapace was performing, with the actor Paul Anderson, and after she changed into her costume — a man’s dress shirt — and her hair and makeup were adjusted to look tousled and slightly sweat-dampened, they read through the dialogue.

In the film, based on a French thriller, Rapace’s Isabelle suffers at the hands of Christine, her manipulative boss, played by Rachel McAdams, then seeks revenge. During this scene, Isabelle, who has just slept with Christine’s lover (played by Anderson) at his apartment, discovers a trove of sex toys. These include a ghostly mask of Christine herself, with white skin and long blond hair, which Isabelle holds up to the light and then addresses.

During the read-through, Rapace questioned De Palma about a couple of lines in which Isabelle talks to the mask, suggesting they weren’t consistent with how she played an earlier scene. She substituted another line, mimicking something Christine has already said: “I used to want to be admired, now I want to be loved.”

As they started filming, Rapace adjusted her performance slightly with each take — more smiling in one, more solemn in the next. And when it came time to shoot her close-up, Rapace and De Palma started analyzing the line again. “Maybe I should just do it more simply,” she said. It was a strange declaration — “I used to want to be admired, now I want to be loved” — to hear Rapace-as-Isabelle make, over and over, after having listened to Rapace-as-Rapace tell me how much she hoped not to fall prey to those desires. She went on to try a few different phrasings, cooing each one to the mask of Rachel McAdams, and finally pared it down to this: “I wanted to be admired, but now I want to be loved.”