The study is a global, multi-center safety and efficacy trial of epcoritamab, an antibody also known as EPKINLY™ and GEN3013 (DuoBody®-CD3xCD20). Epcoritamab will be tested either in Relapsed/refractory (R/R) chronic lymphocytic leukemia (CLL) as: * Monotherapy, or * Combination therapy: * epcoritamab + venetoclax * epcoritamab + pirtobrutinib In Non-United States (US) Participants Only: Treatment-naïve (TN) high risk (HR) (CLL): • epcoritamab + pirtobrutinib Combination therapy for Richter's Syndrome (RS): * epcoritamab + lenalidomide * epcoritamab + R-CHOP (i.e., rituximab, cyclophosphamide, doxorubicin hydrochloride, vincristine \[Oncovin®\] and prednisone). The study includes participants with R/R or TN HR CLL (non-US participants only)/small lymphocytic lymphoma (SLL) and participants with RS. The trial consists of two parts, a dose-escalation phase (phase Ib) and an expansion phase (phase II). Participants with RS are only included in the expansion phase. Epcoritamab will be injected subcutaneously (under the skin). Standard-of-care and combination treatments (venetoclax, pirtobrutinib, lenalidomide, and R-CHOP) will be given either orally (by mouth) or intravenously (in a vein). Study details include: * Study duration will be up to 5 years after the last participant's first treatment in the trial. * The treatment duration for each participant will be between 12 months (1 year) and 24 months (2 years), depending upon the treatment arm assigned. * The visit frequency will be either weekly, every other week, or monthly, depending upon the part of the study. All participants will receive active drug; no one will be given placebo.
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Dose Escalation Phase and Safety Run-in (R/R CLL arm): Number of Participants with Dose Limiting Toxicities (DLTs)
Timeframe: During the first cycle for low dose cohorts (Cycle length = 28 days) and for high dose cohorts (Cycle length = 35 days)
Dose Escalation Phase and Safety Run-in: Number of Participants with Treatment Emergent Adverse Events (TEAEs) and Serious Adverse Events (SAEs)
Timeframe: Up to 5 years
Dose Escalation Phase: Number of Participants with Cytokine Release Syndrome (CRS), Immune Effector Cell-Associated Neurotoxicity Syndrome (ICANS) and Clinical Tumor Lysis Syndrome (CTLS)
Timeframe: Up to 5 years
Expansion Phase: Overall Response Rate (ORR)
Timeframe: Up to 5 years