The PEComa family is a group of tumours having perivascular epithelioid cells (PEC) as the predominating component. PEComas occur in various organs and are considered to be benign tumours. However, rare cases showing pleomorphic morphology, atypical mitoses or necrosis should be considered malignant sarcomas. The precise incidence is unknown but PEComas are reported with increasing frequency. Standard treatment is surgery but there are no guidelines on further follow-up or treatment. PEComa in the liver is a rare tumour, and to our knowledge this is the first published case from Denmark.