Inflammatory myofibroblastic tumours represent a rare group of lesions reported in various organs but with an unclear aetiology. Although so far they are considered benign, some cases of recurrence and invasive behaviour have been noted. We report three consecutive cases of tumours of the lung, with heterogeneous clinical presentation. They were all treated by means of surgery, with good long-term results. Diagnosing an inflammatory myofibroblastic tumour relies mainly on an experienced pathologist.