I. To assess the appropriate dose of bevacizumab when administered with humanized monoclonal antibody MEDI-522 in patients with unresectable or metastatic renal cell carcinoma previously treated with sunitinib malate or sorafenib tosylate. (Phase I) II. To compare the progression-free survival of these patients treated with bevacizumab with versus without humanized monoclonal antibody MEDI-522. (Phase II) III. To evaluate the qualitative and quantitative toxicities of bevacizumab and humanized monoclonal antibody MEDI-522 in these patients. (Phase II) IV. To estimate overall survival and RECIST response rate (i.e., confirmed and unconfirmed, complete and partial responses) in both treatment arms. (Phase II)