"Impossible Things" follows Matilde, a widow so traumatized by her deceased husband Porfirio that she continues to see and interact with him as if he were still alive, subjecting her to constant psychological abuse. Her life is one of utter isolation until she forms an unlikely friendship with her 19-year-old neighbor, Miguel, a small-time drug dealer. Their bond is the film's central focus. Miguel brings the outside world into Matilde's cloistered apartment, introducing her to new music and marijuana, and encouraging her to venture out.
As Matilde's confidence grows, Porfirio's apparitions become more aggressive, representing her internal conflict between her old fears and her new taste of freedom. The climax of the film is not an external confrontation, but an internal one. After a series of empowering experiences with Miguel, Matilde finally finds the strength to stand up to Porfirio's memory. In a powerful scene, she verbally confronts his apparition, telling him he no longer has any power over her and effectively banishing him from her mind. The ending sees Matilde at peace in her own home, no longer haunted, ready to live the remainder of her life on her own terms. The film concludes on a note of quiet triumph and hope, showing that she has achieved the 'impossible' task of freeing herself.