Inclusion Criteria:
* Age 16 to 75 years (inclusive)
* Biopsy-proven relapsed or treatment refractory aggressive B-cell non-Hodgkin lymphoma of the following subtypes per World Health Organisation (WHO) classification: DLBCL and its variants, PMBCL, tFL, FL, MCL
* Requirement for treatment in the opinion of the investigator
* Presence of measurable disease as per Lugano 2014 Criteria
* No other curative treatments available, or not suitable due to patient or disease characteristics or lack of stem cell donor
* Malignancy documented to express CD19 based on flow cytometric or immunohistochemical staining
* Provision of written informed consent for this study
* Lymphoma-related life expectancy at least 12 weeks, and life-expectancy from non-lymphoma related causes of \> 12 months
* European Cooperative Oncology Group (ECOG) performance status of 0 to 2 inclusive
* Adequate haematologic function, defined by neutrophils ≥ 1.0 × 10\^9/L and platelets ≥ 50 × 10\^9/L
* No serious cardiac, pulmonary, hepatic or renal disease.
* Serum bilirubin \< 2.5 times Upper limit of normal (ULN)
* Estimated creatinine clearance (CrCl) ≥ 50 mL/min using the modified Cockroft Gault estimation or as assessed by direct measurement
* Cardiac Ejection Fraction ≥ 50% as determined by Echocardiogram or MUGA Scan
* Oxygen saturations \> 92% on room air
* Diffuse Capacity of the lungs for carbon monoxide (DLCO) or Carbon monoxide transfer coefficient (KCO), Forced expiratory volume in one second (FEV1) and Forced Vital Capacity (FVC) are all ≥ 50% of predicted by spirometry after correcting for haemoglobin and/or volume on lung function testing.
Exclusion Criteria:
* Confirmed active or prior central nervous system (CNS) involvement by lymphoma. In patients with a clinical suspicion of CNS disease, lumbar puncture and MRI brain must be performed
* Active CNS pathology including: epilepsy, seizure within the preceding year, aphasia, paresis, stroke, dementia, psychosis within the preceding year, severe brain injury, Parkinson disease, or cerebellar disease
* Richter Syndrome
* Active autoimmune disease requiring systemic immunosuppression
* Prior solid organ transplantation
* Allogeneic stem cell transplantation within the preceding three months or still requiring systemic immunosuppression
* Current grade II - IV acute graft versus host disease (GVHD), any prior grade IV acute GVHD, or current moderate or severe chronic GVHD
* Systemic corticosteroids at doses of ≥ 20mg prednisone daily or equivalent within 7 days of enrolment
* Peripheral blood lymphocytes \< 0.3 x 10\^9/L as assessed by complete blood count
* Peripheral blood CD3+ T cells \< 150/μL as assessed by lymphocyte subset analysis
* Pregnant or lactating female
* Women of child-bearing potential who are not willing to use highly effective methods of contraception during study participation and for at least 1 year after WZTL-002 administration
* Men who are not willing to use highly effective methods of contraception during study participation and for at least 1 year after WZTL-002 administration
* Men who have a pregnant partner and are not willing to use a condom while performing sexual activity during study participation and for at least 3 months after WZTL-002 administration
* Participants with known sensitivity to immunoglobulin or to components of the investigational product (IP)
* History of active malignancy other than B-cell malignancy within two years prior to enrolment, with the exception of: adequately treated in situ carcinoma of the cervix; adequately treated basal cell carcinoma (BCC) or localized squamous cell carcinoma (SCC) of the skin; other localised malignancy surgically resected (or radically treated with another treatment modality) with curative intent
* Current or prior human immunodeficiency virus (HIV) infection
* Vaccination with a live virus within the preceding four weeks
* Treatment with a purine analogue within the preceding four weeks
* Treatment with alemtuzumab within the preceding 12 weeks
* Cytotoxic chemotherapy, radiotherapy or monoclonal antibody therapy (other than alemtuzumab) within 2 weeks of enrolment
* Prior gene therapy, including prior anti-CD19 chimeric antigen receptor T-cell therapy
* Receipt of an investigational medicine within another clinical trial within the preceding four weeks
* Inadequately controlled systemic infection
* Serologic status reflecting active viral hepatitis B or any history of hepatitis C infection as follows:
* Presence of hepatitis B surface antigen (HBsAg) or hepatitis B core antibody (HBcAb). Patients with presence of HBcAb, but absence of HBsAg, are eligible if hepatitis B virus (HBV) DNA is undetectable (\< 20 IU), and if they are willing to receive appropriate anti-viral prophylaxis.
* Presence of hepatitis C virus (HCV) antibody
* Presence of New York Heart Association (NYHA) class 2 or higher cardiac symptoms not related to lymphoma
* Significant concomitant illnesses which would in the investigator's opinion make the patient an unsuitable candidate for the trial
* Participants who have diminished capacity or any circumstance that would prohibit them from understanding and providing informed consent in accordance with ICH-GCP (International Conference on Harmonisation, Good Clinical Practice)
* Participant does not provide consent to enrol onto International Cellular Therapy Registry