Dose-escalation Study of Safety of PBCAR20A in Subjects With r/r NHL or r/r CLL/SLL

Key Inclusion Criteria

Criteria for NHL:

* r/r CD20+ B-cell NHL that is histologically confirmed by archived tumor biopsy tissue from the last relapse and corresponding pathology report.
* Measurable or detectable disease according to the Lugano classification.
* Primary refractory disease or r/r disease after a response to 2 prior regimens.

Criteria for CLL/SLL:

* Diagnosis of CD20+ CLL with indication for treatment based on the iwCLL guidelines and clinically measurable disease or SLL with measurable disease that is biopsy-proven SLL.
* Previously failed/tolerant to at least 2 prior lines of systemic targeted therapy of known benefit.

Criteria for both NHL and CLL/SLL:

* Study participant has an Eastern Cooperative Oncology Group (ECOG) Performance Status score of 0 or 1.
* Study participant has adequate bone marrow, renal, hepatic, pulmonary, and cardiac function.

Key Exclusion Criteria:

Criteria for NHL:

* Requirement for urgent therapy due to mass effects such as bowel obstruction, spinal cord, or blood vessel compression.
* Active central nervous system (CNS) disease. A negative computed tomography (CT)/magnetic resonance imaging (MRI) is required at Screening if the study participant has a history of CNS lymphoma.

Criteria for NHL and CLL/SLL:

* Active CNS disease. A negative lumbar puncture is required at Screening if the study participant has a history of CNS disease.
* Previous malignancy, besides the malignancies of inclusion (B-cell NHL or CLL/SLL), that in the investigator's opinion, has a high risk of relapse in the next 2 years.
* Active uncontrolled fungal, bacterial, viral, protozoal, or other infection.
* Any form of primary immunodeficiency.
* History of human immunodeficiency virus (HIV) infection.
* Active hepatitis B or C.
* Uncontrolled cardiovascular disease.
* Hypertension crisis or hypertensive encephalopathy within 3 months prior to Screening.
* Presence of a CNS disorder that renders ineligible for treatment.
* History of a genetic syndrome such as Fanconi anemia, Kostmann syndrome, Shwachman Diamond syndrome, or any other known bone marrow failure syndrome.
* Received ASCT within 45 days of Screening if the study participant has met the rest of the count requirements.
* Must not have received systemic corticosteroid therapy for at least 7 days prior to initiating lymphodepletion chemotherapy.
* Received a live vaccine within 4 weeks before Screening.
* Radiotherapy within 4 weeks determined on a case-by-case basis.
* Presence of a pleural/peritoneal/pericardial catheter.
* Current use of any anticoagulant or antiplatelet therapy.