Inclusion Criteria:
1. Male or female, aged ≥18 years.
2. Willing and able to give written, informed consent.
3. Eastern Cooperative Oncology Group (ECOG) Performance Status 0 to 2.
4. Relapsed or refractory multiple myeloma according to IMWG criteria with two previous lines of therapy and resistance to proteosome inhibitors and immunomodulators.
5. Adequate organ system function including
\- Creatinine clearance ≥30 cc/min.
\- Serum alanine aminotransferase / aspartate aminotransferase ≤2.5 x upper limit of normal (ULN).
\- Total bilirubin ≤1.5 x ULN, except in subjects with Gilbert's syndrome.
\- Left ventricular ejection fraction (LVEF) ≥50% (by echocardiogram \[ECHO\] or
\- Baseline oxygen saturation \>92% on room air and ≤Grade 1 dyspnoea.
6. Have no active GVHD (Grade 2-4)
7. Adequate bone marrow (BM) function
* Absolute neutrophil count ≥1.0 × 10\^9/L.
* Absolute lymphocyte count ≥0.3 × 10\^9/L (at enrolment and prior to leukapheresis).
* Haemoglobin ≥80 g/L.
* Platelets ≥50 × 10\^9/L
Exclusion Criteria:
1. Females who are pregnant or lactating.
2. History or presence of clinically relevant CNS pathology such as epilepsy, paresis, aphasia, stroke within prior 3 months, severe brain injuries, dementia, Parkinson's disease, cerebellar disease, organic brain syndrome, uncontrolled mental illness, or psychosis.
3. Patients with active CNS involvement by malignancy. Patients with history of central nervous system (CNS) involvement with malignancy may be eligible if CNS disease has been effectively treated and provided treatment was at least 4 weeks prior to enrolment (at least 8 weeks prior to CAR-T infusion).
4. Clinically significant, uncontrolled heart disease or a recent (within 12 months) cardiac event.
5. Active bacterial, viral or fungal infection requiring systemic treatment. Active or latent hepatitis B infection or hepatitis C infection. Testing positive for human immunodeficiency virus, human T cell lymphotropic virus (HTLV1 and 2) or syphilis.
6. History of autoimmune disease resulting in end organ injury or requiring systemic immunosuppression/systemic disease modifying agents within the last 24 months.
6\. Evidence of active pneumonitis on chest computed tomography (CT) scan at screening or history of drug-induced pneumonitis, idiopathic pulmonary fibrosis, organising pneumonia, or idiopathic pneumonitis.
7\. History of other malignant neoplasms unless disease free for at least 24 months (carcinoma in situ, non-melanoma skin cancer, breast or prostate cancer on hormonal therapy allowed).
8\. The following medications are excluded:
* Steroids: Therapeutic doses of corticosteroids within 7 days of leukapheresis or 72 hours prior to CAR-T administration. However, physiological replacement, topical, and inhaled steroids are permitted.
* Immunosuppression: Immunosuppressive medication must be stopped ≥2 weeks prior to leukapheresis or CAR-T cells infusion.
* Cytotoxic chemotherapies within 1 week of CAR-T cellsinfusion and 1 week prior to leukapheresis.
* Granulocyte-colony stimulating factor less than 14 days prior to leukapheresis.
* Live vaccine ≤4 weeks prior to enrolment.
* Prophylactic intrathecal therapy: Methotrexate within 4 weeks and other intrathecal chemotherapy (e.g. Ara-C) within 2 weeks prior to starting pre-conditioning chemotherapy.
Prior limited radiation therapy within 2 weeks of CAR-T cells infusion. 9. Prior anti BCMA therapy 10. Known allergy to albumin, dimethyl sulphoxide (DMSO), cyclophosphamide or fludarabine or tocilizumab.
11\. Any other condition that in the Investigator's opinion would make the patient unsuitable for the clinical trial.
