That Obscure Object of Desire follows a wealthy, middle-aged man named Mathieu who becomes infatuated with a young woman named Conchita. The film uses a unique narrative technique where different actors portray Conchita, highlighting the dual nature of her character. Mathieu's obsession with Conchita leads to a series of comedic and surreal events, as he tries to win her affections despite her constant rejections.
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