This is a First in Human study of a new single agent (MTL-CEBPA) in patients with advanced cancer of the liver. The study is in two parts: dose escalation followed by a dose expansion; both parts of the study will recruit advanced hepatocellular carcinoma patients with cirrhosis. All participants will be refractory to or ineligible for loco-regional therapy including surgery, radiofrequency tumour ablation, transarterial chemoembolisation or sorafenib.