Pembrolizumab and Lenvatinib for Platinum- Sensitive Recurrent Ovarian Cancer

Inclusion Criteria: 1. Female participants who are at least 18 years of age on the day of signing informed consent, with histologically-confirmed diagnosis of EOC (except from low grade tumors and mucinous histology). 2. A female participant is eligible to participate if she is not pregnant, not breastfeeding, and at least one of the following conditions applies: 1. Not a woman of childbearing potential (WOCBP) OR 2. A WOCBP who agrees to follow the contraceptive during the treatment period and for at least 120 days after the last dose of study treatment. 3. The participant (or legally acceptable representative if applicable) provides written informed consent for the trial. 4. Have measurable disease at baseline based on RECIST 1.1. Lesions 5. Have an Eastern Cooperative Oncology Group (ECOG) performance status of 0 to 1. 6. Have received a front-line platinum-based regimen per local standard of care or treatment guideline following the primary or interval debunking surgery with radiologically documented disease recurrence no earlier than 6 months following completion of platinum-based therapy. Note: Maintenance treatment following front-line treatment is permitted and counted together as part of the front-line treatment. Recurrence is evaluated since last platinum-based chemotherapy administration (for patients treated with maintenance bevacizumab or PARP inhibitors) Note: Patients that received maintenance immune checkpoint inhibitors will be eligible if progression was documented over 6 months since completion of the immunotherapy maintenance treatment. Have received 0 to 1 line of chemotherapy for ROC (or 1 to 2 total prior lines counting the front line) and must have a PFI (or treatment-free interval) of \>6 months for each treatment line. 8\. Have provided archival tumor tissue sample or newly obtained core or excisional biopsy of a tumor lesion not previously irradiated. 9\. Have adequately controlled blood pressure (BP) with or without antihypertensive medications 10. Have adequate organ function as defined by blood tests. Exclusion Criteria: 1. A WOCBP who has a positive urine pregnancy test 2. The participant is pregnant or breastfeeding at Screening or Baseline, or is expecting to conceive within the projected duration of the study, starting with the screening visit through 120 days after the last dose of trial treatment. 3. The participant has received prior therapy with an anti-PD-1, anti-PD-L1 oranti-PD-L2 agent or with an agent directed to another stimulatory or co-inhibitory T-cell receptor (e.g., CTLA-4, OX-40, CD137) in the last 6 months (6 months are calculated from the last dose until study initiation). 4. The participant has received prior systemic anti-cancer therapy mAb, chemotherapy or targeted small molecule therapy within 4 weeks prior to the planned first dose of the study, including investigational agents within 4 weeks. For tyrosine kinase inhibitors (TKIs), other than lenvatinib, and hormonal therapy a shorter interval of 5 half-lives is allowed between prior therapy and study treatment initiation. Note: Participants must have recovered from all AEs due to previous therapies to ≤Grade 1 or baseline. Participants with ≤Grade 2 neuropathy may be eligible. 5. The participant has received prior lenvatinib. 6. The participant has received prior radiotherapy within 2 weeks of start of study treatment. 7. The patient had prior grade 3 immune related toxicity due to immune checkpoint inhibitors or non-infectious pneumonitis. 8. The participant has received more than 2 prior chemotherapy lines. 9. The participant has a history of tumor bleeding one month before study enrollment. 10. The participant has received a live vaccine within 30 days prior to the first dose of study drug. 11. The participant is currently participating in or has participated in a study of an investigational agent or has used an investigational device within 4 weeks prior to the first dose of study treatment. Note: Participants who have entered the follow-up phase of an investigational study may participate as long as it has been 4 weeks after the last dose of the previous investigational agent. 12. The participant has a diagnosis of immunodeficiency or is receiving chronic systemic steroid therapy (in dosing exceeding 10 mg daily of prednisone equivalent) or any other form of immunosuppressive therapy within 7 days prior to the first dose of study drug. Note: The use of physiologic doses of corticosteroids is allowed. 13. The participant has a known active second/additional malignancy that is progressing or has required active treatment within the past 5 years Note: Exceptions include basal cell carcinoma of the skin, squamous cell carcinoma of the skin that has undergone potentially curative therapy, in situ cervical cancer. 14. The participant has a known active CNS metastases and/or carcinomatous meningitis. Note: Participants with previously treated brain metastases may participate provided they are radiologically stable, i.e., without evidence of progression for at least 4 weeks by repeat imaging (note that the repeat imaging should be performed during study screening), clinically stable and without requirement of steroid treatment for at least 14 days prior to first dose of study treatment. 15. The participant has severe hypersensitivity (≥Grade 3) to pembrolizumab and/or any of excipients. 16. The participant has an active autoimmune disease that has required systemic treatment in the past 2 years (i.e. with use of disease modifying agents, corticosteroids or immunosuppressive drugs). Note: Replacement therapy (e.g., thyroxine, insulin, or physiologic corticosteroid replacement therapy for adrenal or pituitary insufficiency, etc.) is not considered a form of systemic treatment. 17. The participant has an active infection requiring systemic therapy. 18. The participant has a known history of human immunodeficiency virus (HIV 1/2 antibodies). 19. The participant has a known history of hepatitis B or known active hepatitis C virus 20. The participant has a history or current evidence of any condition, therapy, or laboratory abnormality that might confound the results of the study, interfere with the subject's participation for the full duration of the study, or is not in the best interest of the subject to participate, in the opinion of the treating investigator. 21. The participant has known psychiatric or substance abuse disorders that would interfere with cooperation with the requirements of the trial. 22. The participant has had an active allogenic tissue/solid organ transplant. 23. The participant has uncontrolled blood pressure 24. The participant has clinically significant electrolyte abnormalities that have not been corrected. 25. The participant has significant cardiovascular impairment: history of congestive heart failure greater than New York Heart Association (NYHA) Class II, unstable angina, myocardial infarction or cerebrovascular accident (CVA) within 6 months of the first dose of study drug, or cardiac arrhythmia associated with hemodynamic instability requiring medical treatment at Screening. 26. The participant has bleeding or thrombotic disorders, radiographic evidence of major blood vessel invasion/infiltration, or is at risk for severe hemorrhage. Note: The degree of tumor invasion/infiltration of major blood vessels (e.g. carotid artery) should be considered because of the potential risk of severe hemorrhage associated with tumor shrinkage/necrosis following lenvatinib therapy. 27. The participant has \>1+ proteinuria on urine dipstick testing unless a 24-hour urine collection for quantitative assessment indicates that the urine protein is \<1 g/24 hours. 28. Prolongation of QTc interval to \>480 ms. 29. Left ventricular ejection fraction (LVEF) below the institutional normal range as determined by multigated acquisition scan (MUGA) or echocardiogram (ECHO). 30. The participant has gastrointestinal malabsorption, gastrointestinal anastomosis, or any other condition that might affect the absorption of lenvatinib. 31. The participant has a pre-existing Grade ≥3 gastrointestinal or non-gastrointestinal fistula. 32. The participant has a known intolerance to the study treatment (or any of its excipients).