• Adult, 18-70 years of age
• Participant must be able to understand and provide consent
• History of Diabetes Type 1 or Insulin-Dependent Diabetes Type 2 with Chronic Kidney Disease (CKD)
• Recipient of a Simultaneous Pancreas Kidney (SPK) transplant, 3- 60 months prior to screening, per Principal Investigator's discretion.
• Have a history of tremors following transplantation
• Stable pancreas allograft function as evidenced by no requirement of exogenous insulin or oral anti-diabetic agents and stable pancreatic enzymes
• Stable kidney allograft function
• Currently taking Immediate-Release (IR) tacrolimus
• Women of child-bearing potential (WOCP) must have a negative pregnancy test at the time of study entry
• Currently maintained on an extended-release tacrolimus immunosuppressive regimen
• Previous history of tremors prior to transplantation
• Solitary pancreas transplant recipients
• History of solid organ transplant other than a kidney or pancreas
• Uncontrolled concomitant infection at the discretion of the investigator
• Presence of Donor Specific Antibodies

• Age18 ≤ 75 years
• Have BKV infection/viremia following kidney transplantation, where BKV viremia is defined as positive BKV qPCR (≥ 250 copies)
• Have evidence of invasive BKV infection (BK Nephropathy)
• Experience one of the following:
• New, persistent and/or worsening BKV-related symptoms, signs and/or markers of end organ compromise despite being on lower immunosuppressive medication
• Adverse effects of lower immunosuppressive medications (e.g., dnDSA, biopsy proven rejection)
• Eligible Donor
• Provide Written informed consent
• Non-kidney organ transplant recipient
• Patient with acute rejection of the kidney allograft at time of T-cell transfer
• Patient receiving steroids (>0.5 mg/kg body weight (BW) prednisone equivalent) at the time of T-cell transfer
• Patient treated with Thymoglobulin (ATG), Alemtuzumab or T-cell immunosuppressive monoclonal antibodies within 28 days prior to T-cell transfer
• Extra renal tissue invasive BK infection
• Concomitant enrollment in another clinical trial interfering with endpoints of this study
• Any medical condition which could compromise participation in the study according to the investigator's assessment
• Known HIV infection
• Female patient who is pregnant or breast-feeding, or adult of reproductive potential not willing to use an effective method of birth control during study treatment Note: Women of childbearing potential must have a negative urine pregnancy test at study entry.
• Patients unwilling or unable to comply with the protocol or unable to give informed consent Donor Eligibility
• ≥ 18 years old
• Available and capable of undergoing a single standard 2 blood volume leukapheresis
• HLA Compatible (see Donor selection priority below):
• Original kidney transplant donor
• Fully HLA matched family member (6/6 HLA match considering HLA-A, HLA-B and HLA-DRB1 genes)
• Partially matched family member (≥ 2/6 HLA match, considering HLA-A, HLA-B and HLA-DRB1 genes)
• BK IgG seropositive
• Meets the criteria for donor eligibility defined in the UW Program for Advanced Cell Therapy Standard Operating Policies and Procedures for Donor Evaluation and Eligibility Determination for the Donation of Viral Specific T Cells, which is in compliance with FACT standards for Immune Effector Cells, and 21 CFR 1271, subpart C.
• Provide written informed consent Donor selection priority: The original kidney donor will be the first choice of donor peripheral mononuclear cells. If the original donor is not available or does not meet all donor eligibility criteria, alternative related donors will be selected, with preference for fully matched related donors (6/6 HLA match, considering HLA-A, -B, and -DRB1 genes) over related donors with partial HLA match (≥ 2/6 HLA match, considering HLA-A, -B, and -DRB1 genes). Note that if the selected donor is related, but not a biological parent or child of the recipient (i.e., at least haploidentical), then high resolution testing of HLA-A and HLA-B will be performed on donor and recipient (if high resolution HLA genotyping not already available in the medical record). If the degree of matching at high resolution reveals a less favorable match than an alternative donor, then prioritization of the alternative donor will occur.

Individuals who meet all the following criteria are eligible for enrollment as study participants- 1. Able to understand and provide informed consent 2. Individual ≥18 years of age. 3. Recipient of a kidney or liver transplant ≥12 months prior to enrollment, without allograft rejection in the 6 months preceding enrollment 4. Negative for anti-donor human leukocyte antigens (HLA) antibodies at screening (Central Lab Test Determination). 5. Currently taking one of the following tacrolimus-based immunosuppressive regimens:
• Tacrolimus plus Mycophenolate Mofetil (MMF) or Mycophenolic Acid (MPA), with or without a corticosteroid
• Tacrolimus with trough ≥ 5ng/mL with or without ≤5 mg of prednisone or equivalent 6. Received a minimum of 3 doses of either the Moderna coronavirus infectious disease 19 (COVID-19) vaccine or Pfizer-BioNTech COVID-19 vaccine 7. Participant must be ≥ 60 days after completion of primary vaccination or receipt of the most recent booster dose with any authorized or approved monovalent or bivalent COVID-19 vaccine at the time of study vaccine. 8. Serum antibody negative or low (titer ≤ 2500 U/mL) at ≥ 30 days from the last dose of mRNA COVID-19 vaccine and ≥ 30 days following receipt of a monoclonal antibody product or convalescent plasma for COVID-19, measured using the Roche Elecsys® anti-SARS-CoV-2 S assay. 9. Participant's transplant physician or midlevel practitioner who is clinically licensed to prescribe and manage immunosuppression must confirm the participant's eligibility based on medical history. Individuals who meet any of these criteria are not eligible for enrollment as study participants- 1. Currently on an immunosuppressive regimen different from the three regimens described in the Inclusion Criteria, for example (but not limited to) those including sirolimus, everolimus, belatacept, or azathioprine 2. Recipient of any allograft other than a kidney or liver 3. Participant is pregnant 4. Any past history of Donor Specific Antibody (DSA) using local site standards 5. Prior receipt of the Moderna COVID-19 Vaccine 2023-2024 or Pfizer-BioNTech COVID-19 Vaccine 2023-2024. 6. Currently taking any systemic immunosuppressive agent, other than their prescribed transplant immunosuppression 7. Known history of severe allergic reaction to any component of an authorized or licensed COVID-19 vaccine 8. Thrombotic events, myocarditis, or pericarditis temporally associated with a prior dose of COVID-19 vaccine 9. History of heparin-induced thrombocytopenia 10. Any change in transplant immunosuppression regimen (drug or dose) in response to suspected or proven rejection within the last 6 months 11. More than minimal graft dysfunction, in accordance with study definition 12. Receipt of any cellular depleting agent (e.g. antithymocyte globulins (ATG), rituximab, alemtuzumab, Cyclophosphamide) within 12 months preceding enrollment 13. Concurrent autoimmune disease at risk for exacerbation with immunosuppression reduction 14. Any untreated active infection including BK viremia >10^4 copies 15. Infection with human immunodeficiency virus (HIV) 16. Recent (within one year) or ongoing treatment for malignancy with the exception of:
• Non- melanomatous skin cancer definitively treated by local therapy, and
• Definitively treated carcinoma-in-situ of the cervix (Stage 0 cervical cancer) 17. Treatment or prophylaxis of COVID-19 with a monoclonal antibody product or convalescent plasma within 6 months preceding enrollment, or 18. Any past or current medical problems, treatments, or findings which, in the opinion of the investigator, may:
• pose additional risks from participation in the study,
• interfere with the candidate's ability to comply with study requirements, or
• impact the quality or interpretation of the data obtained from the study.

1. Able to understand and provide informed consent 2. Individual ≥ 18 years of age. 3. Recipient of kidney transplant >=12 months prior to enrollment, without treated allograft rejection in the 6 months preceding enrollment 4. Maintenance immunosuppressive regimen consisting of CNI and mycophenolate mofetil or mycophenolate, with or without <= 5mg/day prednisone or equivalent 5. Received completed primary series (3 doses) of mRNA vaccine (either the Moderna COVID-19 vaccine or Pfizer-BioNTech COVID-19 vaccine) as specified in the respective package inserts 6. Receipt a COVID-19 bivalent mRNA booster (Moderna or Pfizer-BioNTech) >30 days prior to enrollment. 7. Serum antibody titer up to 2500 U/mL at >=30 days from the last dose of mRNA COVID-19 vaccine and =>30 days following receipt of a monoclonal antibody product or convalescent plasma for COVID-19, measured using the Roche Elecsys(R) anti-SARS-CoV-2 S assay 8. Platelet count greater than 30,000/cu mm must be confirmed in participants with a known history of bleeding disorder or thrombocytopenia (platelet count <50,000/cu mm) 9. A female participant is eligible to participate if she is not pregnant or breastfeeding and one of the following conditions applies: 1. Is of non-childbearing potential. To be considered of non-childbearing potential, a female must be post-menopausal for at least 1 year or surgically sterile OR 2. Is of childbearing potential and agrees to use an effective contraceptive method or abstinence for 12 weeks post vaccine and while taking mycophenolate mofetil/mycophenolic acid 1. Recipient of any number of doses of any COVID vaccine product other than the Moderna COVID-19 vaccine or the Pfizer-BioNTech COVID-19 vaccine 2. Recipient of any organ other than a kidney 3. Known current or prior Donor Specific Antibody (DSA) 4. Any change in transplant immunosuppression regimen (drug or dose) in response to suspected or proven rejection within the last 6 months 5. Known diagnosis of COVID-19 since last antibody test 6. Receipt of a monoclonal antibody product or convalescent plasma within the last 30 days 7. Known history of hypersensitivity to any of the vaccine components, or history of a life-threatening reaction to a vaccine containing any of the same substances. (components listed in Section 6, and the CoV2 and AS03 Investigator's Brochure) 8. Bleeding disorder, or receipt of anticoagulants in the past 21 days preceding inclusion, contraindicating intramuscular (IM) vaccination based on Investigator's judgment 9. Moderate or severe acute illness/infection (according to investigator judgment) on the day of vaccination or febrile illness (temperature >=38.0°C [>=100.4°F]). A prospective participant should not be included in the study until the condition has resolved or the febrile event has subsided 10. Receipt of any vaccine in the 30 days preceding the study vaccine or planned vaccines in the 30 days following the study vaccine 11. Estimated Glomerular Filtration Rate <30mL/min/1.73m^2 12. Receipt of any cellular depleting agent (e.g. Antithymocyte globulin (ATG), Rituximab, Alemtuzumab, Cyclophosphamide) within 12 months preceding enrollment 13. Receiving systemic immunomodulatory medication(s) for any condition other than transplant 14. Any uncontrolled active infection 15. Infection with human immunodeficiency virus (HIV) 16. Maintenance immunosuppressive regimen that includes anything other than a CNI, mycophenolate/mycophenolate mofetil, and =< 5mg/day prednisone or equivalent 17. Recent (within one year) or ongoing treatment for malignancy, except for definitive surgical treatment of localized skin cancers 18. Any unstable acute or chronic illness, treatments, or findings which, in the opinion of the investigator, may pose additional risks from participation in the study, may interfere with the c candidate's ability to comply with study requirements or may impact the quality or interpretation of the data obtained from the study

-Participant intended to receive SOC therapy per Investigator's judgment and local practice. Cohort A: Participants with chronic kidney disease who will receive a kidney transplant from a living or deceased donor. Cohort B: Participants who are kidney transplant recipients diagnosed with active AMR.
• BMI ≤ 40 kg/m2.
• Contraceptive use by women during the treatment period, and for at least 49 weeks after the last administration of IMP (BIVV020 + SOC arm participant) or last treatment period visit (SOC arm participant).
• Contraceptive use by men during the treatment period, and for at least 49 weeks after the last administration of IMP (BIVV020 + SOC arm participant) or last treatment period visit (SOC arm participant).
• Participants who are ABO incompatible with their donors.
• Participants with known active ongoing infection as per below: 1. Positive HIV. 2. Positive HBV. 3. HCV with detectable HCV RNA. 4. Within 4 weeks of first study intervention: any serious infection, or any active bacterial infection, or any other infection which is clinically significant in the option of the Investigator, unless it can be confirmed that infection was cleared at least 3 days prior to first study intervention.
• History of active tuberculosis (TB) regardless of treatment.
• Participants with clinical diagnosis of systemic lupus erythematosus (SLE).
• Prior treatment with complement system inhibitor within 5 times the half-life.
• Current enrollment in any other clinical study where the last investigational study treatment administration was within 5 half-lives from study intervention initiation. The above information is not intended to contain all considerations relevant to a patient's potential participation in a clinical trial.