Palbociclib Plus Letrozole Treatment After Progression to Second Line Chemotherapy for Women With ER/PR-positive Ovarian Cancer

Inclusion Criteria: 1. Evidence of a personally signed and dated informed consent document indicating that the subject has been informed of all pertinent aspects of the study; 2. Subject is willing and able to comply with scheduled visits, treatment plan, laboratory tests, and other study procedures; 3. 18 years of age or older; 4. Patient agrees not to participate in another interventional study while on treatment; 5. Histology confirmed ovarian cancer serous or endometrioid high degree, fallopian tube or with locoregional recurrence peritoneum (not amenable to curative treatment) or metastatic; 6. Estrogen (ER) and/or progesterone (RP) receptor positive tumor, defined as \> 10% by immunohistochemical examination in the local laboratory; 7. Availability of tumor sample from the primary tumor or metastasis, fixed in formalin and embedded in paraffin, for confirmation of positivity for ER and/or RP in a central laboratory; 8. Disease measurable by RECIST 1.1 as assessed by the local investigator or radiologist; 9. Patients must have chemotherapy application for recurrence locoregional or metastatic according to the following criteria: * at least one platinum-based chemotherapy regimen; * have confirmed no more than 3 chemotherapy regimens for locally advanced or metastatic disease 10. Patient must have radiographic disease progression to last treatment; 11. Functional capacity by the Eastern Cooperative Oncology Group (ECOG) ≤ 2; 12. Adequate bone marrow function: * Absolute neutrophil count (CAN) ≥ 1,500/mm3 (≥ 1.5x109/L) * Plates ≥ 100,000/mm3 or ≥ 100 x 109/L * Hemoglobin ≥ 9.0 g/dL; 12\. Adequate liver function: * Total serum bilirubin ≤ 1.5 x upper limit of normal (ULN) (≤ 3.0 x ULN if there is Gilbert's Syndrome) * Aspartate aminotransferase (AST) and alanine aminotransferase (ALT) ≤ 3.0 x ULN (≤ 5.0 x ULN if liver tumor was involved) * Alkaline phosphatase ≤ 2.5 x ULN (≤ 5.0 x ULN if any liver tumor involvement); 13. Adequate kidney function: * Estimated creatinine clearance ≥ 15 mL/min; 14. Evidence of lack of potential to become pregnant: * Post-menopause (defined as at least 1 year without menstruation) before selection, or * Radiotherapy-induced oophorectomy with the last menstruation \> 1 year ago, or * Surgical sterilization (bilateral oophorectomy or hysterectomy). Exclusion Criteria: 1. Patients with a known hypersensitivity to Palbociclib or Letrozole or any of the excipients of the product; 2. Previous treatment with CDK4/6 inhibitors or endocrine therapy; 3. Disease progression during or within 6 months of the first platinum-based chemotherapy regimen. 4. Persistent toxicities (Grade 2 or higher) caused by previous anticancer therapy (excluding alopecia); 5. Patients with a second primary cancer, except: adequately treated non-melanoma skin cancer, cervical cancer in situ curatively treated, Ductal carcinoma in situ (DCIS), stage 1 grade 1 endometrial carcinoma curatively treated with no evidence of illness for 3 years; 6. Last dose of chemotherapy or radiotherapy within 3 weeks of study enrollment; 7. Patients with symptomatic uncontrolled brain metastases. An exam to confirm the absence of brain metastases is not necessary; 8. Major surgical procedure within 3 weeks prior to study randomization, or planned during the course of the study; 9. Patients considered a precarious medical risk due to a disorder uncontrolled serious medical, non-malignant systemic disease, or uncontrolled active infection. Examples include, but are not limited to, uncontrolled ventricular arrhythmia, recent myocardial infarction (within 6 months), stroke, gastrointestinal bleeding, or any psychiatric disorder that precludes informed consent; 10. Patients who have difficulty taking oral medication or any digestive tract dysfunction or inflammatory bowel disease that interferes with intestinal absorption of medications (eg, partial bowel obstruction or malabsorption); 11. Patients received potent inhibitors or inducers of CYP3A4 within 7 days of randomization; 12. Pregnant or nursing women; 13. The patient has a known history of testing positive for human immunodeficiency virus (HIV); 14. Patients with known liver disease (ie, Hepatitis B or C); 15. Treatment with any product under investigation during the last 28 days; 16. Other acute or chronic medical or psychiatric condition or severe laboratory abnormality that could increase the risk associated with participation in the study or that could interfere with the interpretation of the study results and, in the investigator's judgment, would make the research participant unsuitable for entry into this study.