Inclusion Criteria:

• Participant must have MM that has relapsed after or is refractory to at least 3 prior lines of therapy. Relapsed/refractory disease as defined by IMWG criteria.
• Participant must have an Eastern Cooperative Oncology Group (ECOG) performance status of ≤ 2
• Participant must be ≥ 18 years of age
• Prior line of therapy must include iMID and proteasome inhibitor. Prior treatment with anti-CD38 monoclonal antibody is allowed but not required.
• Participant must have adequate organ function, defined as:
  • ANC ≥1 X 109/L
  • Hemoglobin ≥8.0 g/dL
  • Platelets ≥75 X 109/L
  • Total bilirubin ≤1.5X ULN (Isolated bilirubin ≥1.5xULN is acceptable if bilirubin is fractionated and direct bilirubin <35%)
  • ALT ≤2.5 X ULN
  • eGRF ≥40 mL/min/ 1.73 m2
  • Spot urine (albumin/creatinine ratios) <500 mg/g (56 mg/mmol) OR
  • Urien dipstick Negative/trace (if ≥1+ only eligible if confirmed <500 mg/g (56 mg/mmol) by albumin/creatinine ratio (spot urine from first void)
• Female participants: contraceptive use should be consistent with local regulations regarding the methods of contraception for those participating in clinical studies. A female participant is eligible to participate if she is not pregnant or breastfeeding, and at least one of the following conditions applies:
  • Is not a woman of childbearing potential (WOCBP) OR
  • Is a WOCBP and using a contraceptive method that is highly effective (with a failure rate of <1% per year), preferably with low user dependency (as described in Appendix 3), during the intervention period and for at least 4 months after the last dose of study intervention and agrees not to donate eggs (ova, oocytes) for the purpose of reproduction during this period. The investigator should evaluate the effectiveness of the contraceptive method in relationship to the first dose of study intervention.
  • A WOCBP must have a negative highly sensitive serum pregnancy test (as required by local regulations) within 72 hours before the first dose of study intervention.
• The investigator is responsible for review of medical history, menstrual history, and recent sexual activity to decrease the risk for inclusion of a woman with a nearly undetected pregnancy.
• Nonchildbearing potential is defined as follows (by other than medical reasons):
  • ≥45 years of age and has not had menses for >1 year
  • Patients who have been amenorrhoeic for <2 years without history of a hysterectomy and oophorectomy must have a follicle stimulating hormone value in the postmenopausal range upon screening evaluation
  • Post-hysterectomy, post-bilateral oophorectomy, or post-tubal ligation. Documented hysterectomy or oophorectomy must be confirmed with medical records of the actual procedure or confirmed by an ultrasound. Tubal ligation must be confirmed with medical records of the actual procedure.
• Male participants: contraceptive use should be consistent with local regulations regarding the methods of contraception for those participating in clinical studies.
• Male participants are eligible to participate if they agree to the following during the intervention period and for 6 months after the last dose of study treatment to allow for clearance of any altered sperm:
  • Refrain from donating sperm

PLUS either:

• • Be abstinent from heterosexual intercourse as their preferred and usual lifestyle (abstinent on a long term and persistent basis) and agree to remain abstinent.

OR

• • Must agree to use contraception/barrier as detailed below: Agree to use a male condom, even if they have undergone a successful vasectomy, and female partner to use an additional highly effective contraceptive method with a failure rate of <1% per year as when having sexual intercourse with a woman of childbearing potential (including pregnant females)
• All prior treatment-related toxicities (defined by National Cancer Institute- Common Toxicity Criteria for Adverse Events (NCI-CTCAE), version 4.035.0) must be ≤ Grade 2 at the time of enrollment except for alopecia.
• Participant must be able to understand the study procedures and agree to participate in the study by providing written informed consent

Exclusion Criteria:

• Participant must not have current corneal epithelial disease except mild changes in corneal epithelium
• Participant must not have current unstable liver or biliary disease defined by the presence of ascites, encephalopathy, esophageal or gastric varices, persistent jaundice, or cirrhosis. Note: Stable non-cirrhotic chronic liver disease (including Gilbert's syndrome or asymptomatic gallstones) or hepatobiliary involvement of malignancy is acceptable if otherwise meets entry criteria
• Participant must not have presence of active renal condition (infection, requirement for dialysis or any other condition that could affect participant's safety). Participants with isolated proteinuria resulting from MM and stable chronic kidney disease are eligible, provided they fulfil inclusion criteria
• Participant must not use contact lenses while participating in this study
• Participant must not be simultaneously enrolled in any other interventional clinical trial
• Participant must not have used an investigational drug or approved systemic anti-myeloma therapy (including systemic steroids) within 14 days preceding the first dose of study drug
• Participant must not have had plasmapheresis within 7 days prior to first dose of study treatment
• Participant must not have received prior treatment with a monoclonal antibody within 30 days of receiving the first dose of study drugs
• Participant must not have had major surgery ≤ 4 weeks prior to initiating study treatment
• Participant must not have any evidence of active mucosal or internal bleeding
• Participant must not have evidence of cardiovascular risk including any of the following:
  • Evidence of current clinically significant uncontrolled arrhythmias, including clinically significant ECG abnormalities such as 2nd degree (Mobitz Type II) or 3rd degree atrioventricular (AV) block.
  • History of myocardial infarction, acute coronary syndromes (including unstable angina), coronary angioplasty, or stenting or bypass grafting within three (3) months of Screening.
  • Class III or IV heart failure as defined by the New York Heart Association functional classification system [NYHA, 1994]
  • Uncontrolled hypertension
• Participant must not have known immediate or delayed hypersensitivity reaction or idiosyncratic reactions to belantamab mafodotin or drugs chemically related to belantamab mafodotin, or any of the components of the study treatment
• Participant must not have an active infection requiring IV antimicrobial treatment
• Participant must not have known HIV infection
• Participant must not have presence of hepatitis B surface antigen (HBsAg), or hepatitis B core antibody (HBcAb) at screening or within 3 months prior to first dose of study treatment
• Participant must not have positive hepatitis C antibody test result or positive hepatitis C RNA test result at screening or within 3 months prior to first dose of study treatment.
  • Note: Participants with positive Hepatitis C antibody due to prior resolved disease can be enrolled, only if a confirmatory negative Hepatitis C RNA test is obtained.
  • Note: Hepatitis RNA testing is optional and participants with negative Hepatitis C antibody test are not required to also undergo Hepatitis C RNA testing.
• Participant must not have invasive malignancies other than disease under study, unless the second malignancy has been medically stable for at least 2 years and, in the opinion of the principal investigators, will not affect the evaluation of the effects of clinical trial treatments on the currently targeted malignancy. Participants with curatively treated non-melanoma skin cancer may be enrolled without a 2-year restriction.
• Participant must not have any serious and/or unstable pre-existing medical, psychiatric disorder, or other conditions (including lab abnormalities) that could interfere with participant's safety, obtaining informed consent or compliance to the study procedures
• Participants must not be pregnant or lactating