To Rome with Love

To Rome with Love tells four unrelated stories taking place in Rome. The second story, Antonio's, is a direct lift with some amendments of an entire Fellini film, The White Sheik (1952).
Hayley's Story[edit]
American tourist Hayley falls in love with and becomes engaged to Italian pro bono lawyer Michelangelo while spending a summer in Rome. Her parents, Jerry (Woody Allen) and Phyllis, fly to Italy to meet her fiancÃ© and his parents. During the visit, Michelangelo's mortician father Giancarlo sings in the shower and Jerry, a retiredâand critically reviledâopera director, feels inspired to bring Giancarlo's gift to the public. Jerry convinces a reluctant Giancarlo to audition in front of a room of opera bigwigs, but Giancarlo performs poorly in this setting. Michelangelo accuses Jerry of embarrassing his father and trying to use him to revive his own failed career, which in turn breeds discontent between Michelangelo and Hayley.
Jerry then realizes that Giancarlo's talent is tied to the comfort and freedom he feels in the shower; Jerry stages a concert in which Giancarlo performs at the Teatro dell'Opera while actually washing himself onstage in a purpose-built shower. This is a great success, so Jerry and Giancarlo decide to stage the opera Pagliacci, with an incongruous shower present in all scenes. Giancarlo receives rave reviews, while Jerry is unaware that he has again been slammed as he has been called "imbecille" ("stupid" in Italian). Giancarlo decides to retire from opera singing, because he prefers working as a mortician and spending time with his family. But he appreciates being given the chance to live his dream of performing Pagliacci, and his success has mended the relationship between Michelangelo and Hayley.
Antonio's Story[edit]
Newlyweds Antonio and Milly plan to move to Rome because Antonio's uncles have offered him a job in their family's business. After checking into their hotel, Milly decides to visit a salon before meeting Antonio's relatives. She becomes lost and loses her cell phone, but ends up at a film shoot where she meets Luca Salta, an actor she idolizes. He invites her to lunch. Back at the hotel, Antonio is worried Milly will be late for their lunch date with his aunts and uncles. Anna, a prostitute, then arrives, having mistakenly been sent to his room.
Despite his protests, she wrestles him into a compromising position just as his relatives arrive; the only way he can think to save face is to introduce Anna as Milly, and he convinces her to pose as Milly. The group goes to lunch at the same restaurant Luca takes Milly. Antonio becomes jealous as Luca flirts with Milly, but they don't see Antonio. Antonio's uncles and aunts then take him to a party. Antonio has nothing in common with the people he's introduced to, but most of the male guests are Anna's clients. Anna and Antonio walk in the garden, and Antonio talks about how pure Milly is. When Anna finds out he was a virgin before meeting Milly, she seduces him in the bushes.
Meanwhile, Luca tries to seduce Milly at his hotel room. Milly decides to have sex with him, but then an armed thief emerges and demands their valuables. Suddenly, Luca's wife and a private investigator arrive. Milly and the thief climb into bed and fool Mrs. Salta into believing the hotel room is theirs while Luca hides in the bathroom. Once his wife has left, Luca runs off. The burglar flirts with Milly and she has sex with him instead. When she returns to the hotel room, she and Antonio decide to return to their rustic hometownâbut first they begin to make love.
Leopoldo's Story[edit]
Leopoldo lives a mundane life with his wife and two children. The best part of his day is watching his boss's beautiful secretary Serafina walk around the office. Inexplicably, he wakes up one morning to discover that he has become a national celebrity. Paparazzi document his every move. Reporters ask him what he had for breakfast, if he wears boxers or briefs, whether he thinks it will rain or which hand he scratches. Leopoldo even becomes a manager at his company, and Serafina sleeps with him. He begins dating models and attending fancy film premieres. The constant attention wears on him, though. One day, in the middle of interviewing Leopoldo, the paparazzi spot a man "who looks more interesting," and they abandon Leopoldo. At first, Leopoldo welcomes the return to his old life. But one afternoon he breaks down when no one asks for his autograph. Leopoldo has learned that life can be monotonous and wearying whether one is a celebrity or a normal man. Still, it is much better to be a weary celebrity than it is to be a weary regular man.
John's Story[edit]
John (Alec Baldwin), a well-known architect, is visiting Rome with his wife and their friends. He had lived there some thirty years ago, and he would rather revisit his old haunts than go sightseeing with the others. While looking for his old apartment building, John meets Jack (Jesse Eisenberg), an American architecture student who recognizes him. Jack happens to live in John's old building, and invites him up to the apartment he shares with his girlfriend Sally (Greta Gerwig). Throughout the rest of the story, John appears as a quasi-real and quasi-imaginary figure around Jack and makes unusually frank observations of events.[7] Sally tells Jack that she invited her best friend Monica, an actress, to stay with them and tells him that Monica (Ellen Page) gives off a sexual vibe that drives men crazy. John predicts Monica will bring trouble, and John keeps telling Jack that Monica will lead him to trouble. Even though John cautions Jack against cheating with Monica, he begins to succumb to her charms. Sally sets Monica up with Leonardo, one of their friends, and Jack is jealous of their relationship. One night he and Monica decide to cook dinner for Sally and Leonardo. They flirt more and more until Jack kisses Monica; they go down to his car to have sex.
Jack, now besotted with her, plans to leave Sally for Monica, but they decide Jack should wait until Sally finishes her midterms for Jack to break up with her. The trio go out for lunch after Sally's exams, and when they are alone, Jack tells Monica he plans to dump Sally that night. They make plans to travel to Greece and Sicily together. Then Monica gets a phone call from her agent who says she has been offered a role in a Hollywood blockbuster. She will film in Los Angeles and Tokyo for the next five months and she immediately becomes completely focused on preparing for the role. She forgets about traveling with Jack, who realizes how shallow she is. John and Jack walk back to the Roman street corner where they met and they part ways. It is possible that John's whole experience was actually his memory of what happened to him 30 years ago.

Question: Who arrives with Luca's wife?
Answer: A private investigator