The primary objective for the phase I part of the study is to investigate the safety and tolerability of escalating intravenous (IV) doses of obinutuzumab given as monotherapy in participants with CD20+ (tumor-infiltrating lymphocytic) Malignant Disease, including B-cell chronic lymphocytic leukemia (CLL) and Non-Hodgkin's Lymphoma (NHL). The primary objective for the phase II part of the study is to investigate the efficacy and safety of one dose of obinutuzumab in participants with relapsed/refractory CLL and NHL that is, in turn, either indolent (iNHL) or aggressive (aNHL).