1. Histologically proven advanced MPM, advanced peritoneal mesothelioma (for dose escalation cohort only) or non-squamous NSCLC (stage IIIB/IV) who have not been treated with prior chemotherapy or immunotherapy, except that NSCLC subjects with EGFR mutant or ALK positive must have had an EGFR tyrosine kinase inhibitor (TKI) or ALK inhibitor and progressed or been shown to be intolerant of therapy prior to enrolling in this trial, if such ALK inhibitor and EGFR targeted therapy are approved and available in the country in which patients are being enrolled OR Histologically proven metastatic uveal melanoma who have not been treated with prior chemotherapy (MTD cohort only), OR Histologically proven HCC who have failed (PD and/or side effects-been intolerant of) treatment with sorafenib. Failure is defined as having progressed radiographically on, or been intolerant to prior systemic therapy. Intolerance is defined as discontinuation due to an AE(s) on prior systemic therapy that was unacceptable to the treating physician and / or patient, with or without dose interruption and modification. Failure requires at least 14 days of treatment with sorafenib, except for a subject that has had a severe allergic reaction to sorafenib at any time, even less than 14 days of treatment with sorafenib and thus it would be imprudent to re-challenge them with that agent. Cirrhotic status of Child-Pugh grade A-B7 must be present. Child-Pugh status should be determined based on clinical findings and laboratory data during the screening period (Appendix E). Subjects on anti-coagulants are to receive 1 point for their INR status, as they are presumed to have a <1.7 baseline PT/INR.", OR Histologically proven high-grade glioma who have failed (PD and/or side effects) treatment with radiotherapy ± temozolomide, OR Sarcomatoid cancer of any line.