A young girl named Eva (Eszter Balint), having recently arrived from Hungary, finds herself standing outside a bustling airfield, filled with airplanes taking off and landing, unsure of her next move. Meanwhile, Willie (John Lurie), a self-absorbed, unemployed hipster slacker, has been living in the United States for over a decade, turning his back on his Hungarian heritage and opting to speak only English. Residing in a modest one-room apartment in Manhattan's lower east side, his mundane routine is disrupted when he receives an unexpected phone call from his Hungarian aunt, Lottie. She informs him that he has a niece arriving soon to stay with him while she recuperates in the hospital for ten days. Reluctantly, Willie prepares to host Eva, irritated at the thought of this intrusion into his otherwise solitary life.
As Eva makes her way to Willie's place, viewers witness a strikingly desolate part of Manhattan, so rarely seen, with her serenading the streets with Screamin' Jay Hawkins on a tape recorder, singing the haunting tune "I've Got a Spell on You." Upon her arrival, Willie's lack of enthusiasm is palpable; he resents her presence, feeling it disturbs his otherwise monotonous existence. He begrudgingly offers her a place to sleep while introducing her to his limited lifestyle filled with TV dinners, solitaire, and unexciting television. However, amid this mundane backdrop, a connection starts to blossom, and the two begin to embrace their newfound familial bond.
After a week together, it’s time for Eva to continue her journey to Cleveland to join Aunt Lottie. Eddie, Willie's friend, bids her farewell in the street after she departs, leaving him to share a quiet beer with Willie back at the apartment, devoid of conversation. Fast forward a year, Willie and Eddie find themselves caught up in a poker game, unexpectedly walking away with over $600, much to the ire of one player who believes they've cheated. Nonetheless, they leave with plans to travel with their bounty.
Soon, the duo borrows an aging 1965 Plymouth and heads out from New York City towards Cleveland to see Eva. Their road trip presents little excitement, characterized by Willie's incessant chatter and Eddie's growing frustration with the cold weather. Upon arriving in Cleveland, they encounter Aunt Lottie, who is as spirited as ever, welcoming them into her modest home, treating them to a hearty goulash meal before picking up Eva from her job at a hot dog stand.
Introducing themselves to Eva, the trio quickly settles into a monotonous routine at Aunt Lottie's house. Boredom sets in, but Eva suggests an outing to see a Kung Fu movie, accompanied by her indifferent boyfriend, which fails to captivate any of them. The lethargy of their visit culminates in numerous card games with Aunt Lottie, where she continuously bests them, leading the guys to plan a trip to Lake Erie. Frustrated with the dullness of their surroundings, Willie and Eddie decide to leave for New York, wanting to convince Eva to join them for a more lively experience in Florida, despite Aunt Lottie's strenuous objections.
Upon reaching Florida, their optimism quickly dwindles as they find the locale equally uninspiring and check into a desolate motel. Their luck sours further as they lose their money on dog races. Tensions rise when Willie forbids Eva from accompanying them to the horse races, leaving her to wander the beach alone. An unexpected turn of events occurs when Eva is mistaken for someone else by a drug dealer, leading to an unexpected windfall of cash. After receiving the money, she finds herself in a precarious situation when a woman resembling her appears suddenly.
Eva returns to the motel with a portion of the money, leaving behind a note for Willie and Eddie, indicating her plan to head to the airport. Upon arriving, she discovers the only available flight to Europe is headed to Budapest, her place of origin. She opts to wait until the next day, heading back to the motel. Meanwhile, Willie and Eddie, after a victorious day at the horse races, return only to find Eva missing, with Willie reading her note in growing despair. In a last-ditch effort to persuade her to stay, Willie devises a plan to buy a ticket and board the plane. Unbeknownst to him, Eva made her decision just as the last available seat was claimed. The film concludes with a poignant image of Eddie watching the plane depart, realization dawning on him, while Eva finds herself back at the motel, returning to solitude once more.
