I. To assess the toxicity associated with this regimen in these patients. II. To determine the response rate of patients treated with this regimen. III. To determine the overall survival of patients treated with this regimen. IV. To evaluate multiple potential correlative biomarkers in MPM that are relevant to this combined regimen, including serum HGF and mesothelin levels, c-met expression by IHC in tumor specimens, presence of c-met mutations in tumor, and the presence of thymidylate synthetase (TS) and excision repair cross complementing protein-1 (ERCC1) polymorphisms.