The primary study objective is to determine the safety (maximum tolerated dose) of escalating NK cell doses of adoptively infused ex vivo expanded autologous NK cells in subjects with treatment refractory metastatic tumors or hematological malignancies that are sensitized to NK cell cytotoxicity using bortezomib. Secondary objectives will include the anti-neoplastic effects of this treatment regimen (assessed using standard disease specific response criteria) and the toxicity profile associated with extended cycles of protocol therapy.