Solitary fibrous tumour (SFT) is a rare oncological entity that most often arises in the pleura. Over the past 10 years, the tumour has been described at numerous extrapleural locations. We present the case of a 42-year-old female Caucasian patient with an extrapleural SFT located at the anterior thoracic wall for 22 years, with atypical histological characteristics and clinical features of malignancy. Management consisted of a wide surgical resection, plastic reconstruction, and postoperative radiotherapy. Although extrapleural SFT usually behaves as a benign soft tissue tumour, it can also present with a more aggressive local behavior, including locoregional recurrence or metastasis. In that case, a multidisciplinary approach is required for accurate diagnosis and proper management.