SynKIR-310 for Relapsed/Refractory B-NHL

Inclusion Criteria: * Adult 18 years of age and older. * Histologically confirmed diagnosis of B-NHL before enrollment. * Must have received prior CAR T or were unwilling/unable to receive prior CAR T. * Must have refractory or relapsed disease after receiving 2 prior lines of therapies. * If relapsed/refractory post-auto-SCT, then must have undergone auto-SCT at least 6 months prior to enrollment. * If relapsed/refractory disease after allogeneic stem cell transplant (allo SCT) then must have undergone allo-SCT at least 6 months prior to enrollment and without evidence of graft versus host disease, and expectation to remain off immunosuppressive therapy through duration of trial * Measurable disease at time of enrollment: At least one measurable lesion per Lugano Response Criteria (Cheson et al., 2014) or measurable disease per IWWM-11 response criteria (Treon 2023) for Waldenström macroglobulinemia patients. * Eastern Cooperative Oncology Group (ECOG) performance status of 0 to 1 Exclusion Criteria: * Previously treated with any investigational agent within 30 days prior to screening. * Any previous or concurrent malignancy, with the following exceptions: Adequately treated non-melanoma skin cancer such as basal cell or squamous cell carcinoma; carcinoma-in-situ (e.g., cervix, bladder, breast) treated curatively and without evidence of recurrence for at least 3 years prior to enrollment or adequately treated melanoma skin cancer in-situ; any other malignancy which has been completely treated and remains in complete remission for ≥ 5 years prior to enrollment. Completely treated prostate cancer with prostate-specific antigen (PSA) level \< 1.0 may also be permitted. * Use of systemic immunosuppressive drugs within 4 weeks prior to study entry, or anticipated use of systemic immunosuppressive agents through end of study, with the exception of non-T cell targeting agents prior to leukapheresis * Known immunodeficiency disease , with the exception of hypoglobulinemia * History or presence of active or clinically relevant primary central nervous system (CNS) disorder, such as seizure, encephalopathy, cerebrovascular ischemia/hemorrhage, cerebellar disease, or any autoimmune disease with CNS involvement. For primary CNS disorders that have recovered or are in remission, participants without recurrence within 2 years of planned study enrollment may be included. * Uncontrolled hypertension, history of myocarditis or congestive heart failure, unstable angina, serious uncontrolled cardiac arrhythmia, or myocardial infarction within 6 months prior to study entry. * Any active uncontrolled systemic fungal, bacterial or viral infection. Note: Other protocol defined Inclusion/Exclusion criteria may apply.