Enrollment of an initial patient cohort of 3 or 6 patients will follow the traditional "3 + 3" dose escalation scheme. These patients will be treated with ARQ 197 and sorafenib at Dose Level 1 (ARQ 197 360 mg BID and sorafenib 200 mg BID). Enrollment of subsequent patient cohort(s) will depend on the safety and tolerability of the combination treatment in the initial cohort. If <33% patients treated at Dose Level 1 experience dose-limiting toxicity(ies) (DLT) by the end of first treatment cycle (4 weeks), then next cohort of 6 patients will be enrolled and treated at Dose Level 2 (ARQ 197 360 mg BID and sorafenib 400 mg BID). If ≥ 33% patients treated at Dose Level 1 experience DLT(s) by the end of first treatment cycle, the next cohort of 6 patients will be enrolled and treated at Dose Level 0 (ARQ 197 240 mg BID and sorafenib 200 mg BID).