EPOCH: Eribulin and Pembrolizumab in Ovarian/Uterine Carcinosarcoma

Inclusion Criteria: 1. Provision of written informed consent prior to any study specific procedures and the ability to comply with the protocol for the duration of the study, including undergoing treatment and scheduled visits and examinations. 2. Patients \> 18 years old who have a histologically confirmed tubo-ovarian carcinosarcoma or uterine carcinosarcoma with evidence of recurrence or progression. The component of sarcoma in the diagnostic pathology sample must be equal to or \> 5% of tumour. 3. Must have Positron Emission Tomography (PET), Computerized Tomography CT, or Magnetic Resonance Imaging (MRI) -proven relapsed disease after completion of at least one line and not more than two lines of chemotherapy. 4. Must have at least one evaluable measurable lesion (other than the lesion that will be used for biopsy) using standard techniques according to the Response Evaluation Criteria in Solid Tumours (RECIST v1.1) guidelines (Appendix 1). 5. Have an Eastern Cooperative Oncology Group (ECOG) performance status of 0 to 1 (Appendix 5). Evaluation of ECOG is to be performed within 28 days prior to the first dose of the study intervention. 6. Have adequate organ function as defined below (refer also Appendix 6). * Absolute neutrophil count (ANC) ≥1.5 x 109/L * Platelets ≥100 x 109/L * Haemoglobin (Hb) ≥90 g/L or ≥5.6 mmol/L (criteria must be met without erythropoietin dependency and without packed red blood cell (pRBC) transfusion within last 2 weeks). * Creatinine ≤ 1.5 x Upper Limit Normal (ULN); OR Creatinine Clearance (CrCl) ≥ 30 mL/min (calculated per institutional standard) for participants with creatinine levels \>1.5 ULN (glomerular filtration rate, GFR, can also be used in place of creatinine or CrCl). (Patients with moderate renal impairment (CrCl 30-49ml/min) will receive a 25% reduced dose of eribulin). * Total bilirubin ≤1.5 ×ULN OR direct bilirubin ≤ULN for participants with total bilirubin levels \>1.5 × ULN * Alkaline phosphatase (ALP), Aspartate aminotransferase (AST) and alanine aminotransferase (ALT) ≤2.5 × ULN (≤5 × ULN for participants with liver metastases) * International normalized ratio (INR) OR prothrombin time (PT), Activated partial thromboplastin time (aPTT) ≤1.5 × ULN unless participant is receiving anticoagulant therapy as long as PT or aPTT is within therapeutic range of intended use of anticoagulants Biological specimens must be collected within 28 days prior to the first dose of the study intervention (within 7 days, where indicated in the SoA). 7. Available formalin fixed, paraffin embedded (FFPE) tumour sample from the primary cancer and/or metastatic tumour from the up-front or secondary debulking surgery with adequate neoplastic cell content (\>30%). 8. Must have disease amenable to biopsy and must be willing to undergo a paired biopsy for additional correlative analyses (the first biopsy to be performed within 28 days prior to the start of the study intervention and the second biopsy in the five-day window prior to Cycle 2 (post Cycle 1)). For patients that experience progression of their disease whilst on study, separate patient consent will be sought for additional biopsies of their tumour for research. 9. Willing to have blood samples collected for translational research 10. Must not be pregnant, not breastfeeding, and at least one of the following conditions applies: 1. Not a person of childbearing potential (POCBP). OR 2. A POCBP who agrees to follow the contraceptive guidance during the treatment period and for at least 4 months (120 days) after the last dose of the study treatment. Exclusion Criteria: 1. Prior line of treatment involving immunotherapy with an anti-PD-1, anti-PD-L1, or anti PD-L2 agent or with an agent directed to another stimulatory or co-inhibitory T-cell receptor. This criteria is applicable for both intervention arms as patients may cross-over from the non-immunotherapy arm during their study participation. 2. Prior treatment with eribulin for any malignancy. 3. Absence of a second disease site suitable for biopsy 4. Has received prior systemic anti-cancer therapy including investigational agents within 4 weeks prior to the first dose of the study intervention. 5. Has active autoimmune disease (such as Systemic Lupus Erythematosus) that has required systemic treatment in the past 2 years (i.e., with use of disease modifying agents, corticosteroids, or immunosuppressive drugs). 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 and is allowed. 6. A POCBP who has a positive urine pregnancy test within 7 days prior to the first dose of the study intervention (see Appendix 7). If the urine pregnancy test is positive or cannot be confirmed as negative, a serum pregnancy test will be required. 7. Has received prior radiotherapy within 2 weeks of the start of the study intervention. Patients must have recovered from all radiation-related toxicities, not require corticosteroids, and not have had radiation pneumonitis. A 1-week washout is permitted for palliative radiation (≤2 weeks of radiotherapy) to non-central nervous system disease. 8. Known central nervous system malignancy or metastasis, including leptomeningeal metastasis or carcinomatous meningitis, unless adequately treated and patients are neurologically stable for at least one month prior to enrolment. Patients must be either off corticosteroids or on stable or decreasing dose of \< /=10 mg daily prednisone (or equivalent) within 28 days prior to the first dose of the study intervention. In the case of short-term use of systemic corticosteroids (less than 24 hours within 28 days) of greater than 10 mg daily of prednisone or an equivalent corticosteroid, the required washout period prior to starting the first dose of the study intervention is 7 days. Anticonvulsants are allowed to be continued except for those which interfere with the study interventions or are associated with liver toxicity. However, patients receiving anticonvulsants must be discussed with Study Chair or Acting Chair of Trial Management Committee (TMC) prior to their enrolment to the study. 9. Symptomatic or clinically significant inflammatory bowel disease (Crohn's disease or ulcerative colitis). 10. 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 the study intervention. 11. Has received a live vaccine or live-attenuated vaccine within 30 days prior to the first dose of the study intervention. Live vaccine or live-attenuated vaccine cannot be administered during treatment with the study intervention and for 30 days post discontinuation of the study intervention. Administration of killed vaccines is allowed. 12. Has an active infection requiring systemic therapy. 13. Has had an allogenic tissue/solid organ transplant. 14. Has severe hypersensitivity (≥Grade 3) to pembrolizumab and/or any of its excipients. 15. Has a history of (non-infectious) pneumonitis/interstitial lung disease that required steroids or has current pneumonitis/interstitial lung disease. 16. Has a known history of Human Immunodeficiency Virus (HIV) infection. Note: no testing for HIV is required unless mandated by local health authority. 17. Has a known history of Hepatitis B (defined as Hepatitis B surface antigen \[HBsAg\] reactive) or known active Hepatitis C virus (defined as HCV RNA \> 25 international units/mL is detected) infection. Note: no testing for Hepatitis B and Hepatitis C is required unless mandated by local health authority. 18. Has a known additional active malignancy that is likely to interfere with assessment of response or tolerance to the study intervention. 19. Has a history or current evidence of any condition, therapy, or laboratory abnormality that might confound the results of the study, interfere with the patients' participation for the full duration of the study, or is not in the best interest of the patient to participate, in the opinion of the treating Investigator. 20. Inability to attend or comply with treatment or follow-up scheduling.