Inclusion Criteria:
1. Eligible patients with a diagnosis of aggressive NHL:
1. Patients after progression on at least one standard chemotherapy and one salvage regimen or
2. Patients considered for alloSCT but are found ineligible or
3. Patients who have relapsed post alloSCT at least 100 days post-transplant, with no evidence of active GVHD, and no longer taking immunosuppressive agents for at least 30 days prior to enrollment.
2. Patients with CNS disease (excluding isolated CNS lymphoma) are eligible only if disease has been successfully cleared at the time of inclusion.
3. CD19 expression must be detected on the malignant cells by flow cytometry or immunohistochemistry
4. Age \> 18 year up to 75 years old (if deemed fit by treating investigator);
5. Baseline absolute CD3+ T cell count by FACS ≥100/µl;
6. ECOG performance score of 0-2 at screening;
7. No active Hepatitis B, Hepatitis C, HIV I/II
8. No childbearing potential or negative pregnancy test at screening within 7 days from starting lymphodepletion chemotherapy and before bridging chemotherapy in women with childbearing potential;
9. Signed and dated informed consent, before conduct of any trial-specific procedure.
Exclusion Criteria:
1. Residual CNS disease
2. Current autoimmune disease, or history of autoimmune disease with potential CNS involvement;
3. Active clinically significant CNS dysfunction (including but not limited to uncontrolled seizure disorders, cerebrovascular ischemia or hemorrhage, dementia, paralysis)
4. History of an additional malignancy other than non-melanoma skin cancer or carcinoma in situ unless disease free for ≥3 years;
5. Pulmonary function: Patients with pre-existing severe lung disease or DLCO of less than 50% or active pulmonary infiltrates on imaging studies.
6. Cardiac function: left ventricular ejection faction \<50% by echocardiogram,
7. Renal function: Creatinine clearance \<50 mL/min/1.73 m2, by Cockcroft-Gault formula (Cockcroft and Gault 1976) for patients ≥18 years.
8. Liver function: patients with serum bilirubin ≥3 times upper limit of or AST or ALT \> 5 times upper limit of normal, unless due to lymphoma liver infiltration in the estimation of the investigator.
9. Rapidly progressive disease that in the estimation of the investigator would compromise ability to complete study therapy;
10. Pregnant or breast-feeding females
11. Medications: systemic chemotherapies, corticosteroids with the exception of physiologic replacement dosing, Fludarabine/clofarabine or immunosuppressive (Calcineurin inhibitors) drugs and antibodies or investigational drugs or donor lymphocyte transfusions or radiation therapy within 30 days prior to apheresis, and rituximab within 2 weeks with the exception of Intrathecal chemotherapy is allowed prior to treatment, but should be discontinued 10 days prior to-CART19 infusion to limit the risk of neurotoxicities;
12. Patients of child-bearing or fathering potential not willing to practice an effective form of birth control from the time of enrollment and for three months after dosing of the CARTs;
13. Concurrent participation in another interventional trial that could interact with this trial, e.g. CAR T trials.
14. Other investigational treatment within 4 weeks before CARTs infusion;
15. Cerebral dysfunction, legal incapacity of adult patients;
16. Committal to an institution on judicial or official order.