Main Study Group. Three initial subjects with either HCC or cancer metastatic to the liver will receive 0.25 mL PV-10 per cc lesion volume (Lv) to a single lesion (up to a maximum dose of 7.5 mL PV-10). If none of the initial three subjects experiences a new and persistent CTCAE Grade 3 or greater non-hematological or any Grade 4 hematological toxicity over a 28-day follow-up interval, an additional three subjects will be enrolled and similarly treated with PV-10 administered at 0.50 mL per cc Lv (up to a maximum dose of 15 mL PV-10) provided no new and persistent Grade 3 or greater non-hematological or any Grade 4 hematological toxicity occurs.