Study of PIT565 in Relapsed and/or Refractory B-cell Malignancies

Inclusion Criteria: * Signed informed consent must be obtained prior to participation in the study. * Male or female patients ≥18 years of age at the date of signing the informed consent form * Eastern Cooperative Oncology Group (ECOG) performance status ≤2 NHL patient population * Refractory or relapsed B-NHL * Must have relapsed after or failed to respond to at least two prior treatment therapies including an αCD20 monoclonal antibody containing chemotherapy combination regimen * Must have at least one bi-dimensionally measurable nodal lesion or one bi-dimensionally measurable extranodal lesion, as measured on positron emission tomography-computed tomography (PET/CT) scan ALL patient population * Refractory or relapsed CD19-positive B-ALL * Morphologic disease in the bone marrow (≥ 5% blasts) Exclusion Criteria: * History of severe hypersensitivity to any ingredient of the study treatment or its excipients * Contraindication to tocilizumab * History of ongoing, chronic or recurrent infectious disease, or evidence of tuberculosis infection * Malignant disease, other than that being treated in this study. Exceptions to this exclusion include the following: malignancies that were treated curatively and have not recurred within 2 years prior to study treatment; completely resected basal cell and squamous cell skin cancers, and completely resected carcinoma in situ of any type * Active central nervous system (CNS) involvement by malignancy or presence of symptomatic CNS metastases, or CNS metastases that require local CNS-directed therapy (such as radiotherapy or surgery), or increasing doses of corticosteroids within the 2 weeks prior to the start of study treatment * Active, known or suspected autoimmune disease other than patients with vitiligo, residual hypothyroidism only requiring hormone replacement, psoriasis not requiring systemic treatment or conditions not expected to recur * Patients receiving systemic treatment with any immunosuppressive medication Other protocol-defined inclusion/exclusion criteria may apply.