Platinum Chemotherapy Plus Paclitaxel With Bevacizumab and Atezolizumab in Metastatic Carcinoma of the Cervix

Inclusion Criteria: 1. Female patients must be ≥18 years of age. 2. Signed informed consent before any study-specific procedure 3. Able (in the investigator´s judgment) to comply with the study protocol 4. GOG/Eastern Cooperative Oncology Group (ECOG) performance status of 0-1 5. Life expectancy ≥3 months 6. Histologically- or cytologically-confirmed diagnosis of metastatic (stage IVB), persistent, or recurrent cervical cancer (histologies other than squamous cell, adenocarcinoma, or adenosquamous will be excluded) not amenable for curative treatment with surgery and/or radiation therapy. The inclusion of patients with adenocarcinoma histology will be capped to 20% of the whole study population. 7. No prior systemic anti-cancer therapy for metastatic or recurrent disease. 8. Measureable disease by RECIST v1.1 criteria. 9. A tumor specimen is mandatory at study entry. 10. Adequate organ function: Hemoglobin ≥9 g/dL ANC ≥1.5 × 109/L Lymphocyte count ≥0.5 × 109/L Platelet count ≥100 x 109/L 11. Adequate liver function: Serum albumin ≥2.5 g/dL Total serum bilirubin ≤1.5 ×ULN AST and ALT ≤2.5 × upper limit normal (ULN) or ≤5 × ULN if tumor involvement (liver) is present 12. Adequate renal function: Patients with serum creatinine \<1.5 × ULN Urine dipstick for proteinuria \<2+. 13. Adequate coagulation: Blood coagulation parameters (PTT, PT/INR): PT such that international normalized ratio (INR) is ≤ 1.5 (or an in-range INR, usually between 2 and 3, if a patient is on a stable dose of therapeutic warfarin for management of venous thrombosis including pulmonary thromboembolus) and a PTT \<1.5 × ULN. 14. Negative Test Results for Hepatitis: Negative hepatitis B surface antigen (HBsAg) test at screening Negative total hepatitis B core antibody (HBcAb) test at screening, or positive total HBcAb test followed by a negative hepatitis B virus (HBV) DNA test at screening.The HBV DNA test will be performed only for patients who have a positive total HBcAb test. Negative hepatitis C virus (HCV) antibody test at screening, or positive HCV antibody test followed by a negative HCV RNA test at screening.The HCV RNA test will be performed only for patients who have a positive HCV antibody test. 15. Toxicities related to previous treatments must be recovered to \< grade 2 (with the exception of alopecia). 16. Female participants must be postmenopausal (≥ 12 months of non-therapy-induced amenorrhoea) or surgically sterile (absence of ovaries and/or uterus, or who received therapeutic radiation to the pelvis) or otherwise have a negative serum pregnancy test within 7 days of the first study treatment and agree to abstain from heterosexual intercourse or use single or combined contraceptive methods that result in a failure rate of \<1% per year during the whole treatment period of the study and for at least 5 months (if the last study dose contained atezolizumab) or 6 months (if the last study dose contained bevacizumab) after the last dose of study treatment. * Abstinence is acceptable only if it is in line with the preferred and usual lifestyle of the patient. Periodic abstinence (e.g., calendar, ovulation, symptothermal or postovulation methods) and withdrawal are not acceptable methods of contraception Exclusion Criteria: 1. Disease that is suitable for local therapy administered with curative intent 2. Prior radiotherapy delivered using cobalt (rather than a linear accelerator) 3. Patients with Stage IVA not amendable to concurrent chemo-radiation as primary treatment will not be eligible. 4. Ongoing disease involving the bladder or rectum at screening/baseline 5. Evidence of abdominal free air 6. Bilateral hydronephrosis, unless it can be alleviated by ureteral stent(s) or percutaneous drainage 7. Patients previously treated with chemotherapy except when used concurrently with radiation therapy. Patients who have received either concurrent paclitaxel with radiation therapy or carboplatin/paclitaxel as adjuvant therapy are ineligible for the study. 8. Prior treatment with any anti-VEGF drug, including bevacizumab, CD137 agonists or immune checkpoint blockade therapies, anti-PD1, or anti-PDL1 therapeutic antibodies or anti-CTLA 4. 9. Patients with a concomitant malignancy other than non-melanoma skin cancer. Patients with a prior invasive malignancy (except non-melanoma skin cancer ) who have had any evidence of disease within the last 5 years or whose prior malignancy treatment contraindicates the current protocol therapy. 10. Known brain metastases or spinal cord compression. It is mandatory to perform a scan of the brain in cases of suspected brain metastases (CT or MRI) or spinal cord compression (MRI). 11. History or evidence, following a neurological examination, of central nervous system (CNS) disorders, unless properly treated with standard medical treatment,(e.g. uncontrolled epileptic seizures). History of cerebrovascular accident (CVA, stroke), transient ischemic attack (TIA) or subarachnoid hemorrhage within six months of the first date of treatment on this study. 12. Patients with serious non-healing wound, ulcer, or bone fracture. 13. Acute intestinal obstruction or sub-occlusion episode in the last 6 months. 14. Active GI bleeding or GI ulcer 15. History of Crohn's disease or inflammatory bowel disease 16. Prior bowel resection ≤6 weeks preceding first study dose 17. History of diverticulitis requiring medical intervention 18. NCI CTCAE (version 5.0) grade ≥2 enteritis 19. Major surgical procedure, open biopsy or significant traumatic injury within 28 days prior to Day 1, Cycle 1. 20. Core biopsy or other minor surgical procedure, excluding placement of a vascular access device, within 7 days prior to Day 1, Cycle 1. 21. Patients with active bleeding or pathologic conditions that carry high risk of bleeding, such as known bleeding disorder, coagulopathy, or tumor involving major vessels. 22. Current or recent (within 10 days before the first dose of study drug) chronic daily treatment with aspirin (\>325 mg/day), clopidogrel (\>75 mg/day), or current or recent (within 10 days before first dose of bevacizumab) use of therapeutic oral or parenteral anticoagulants or thrombolytic agents for therapeutic purposes. 23. Patients with pre-existing Grade 2 or greater peripheral neuropathy. 24. History of any grade ≥3 venous thromboembolic event (VTE) 25. Patients with clinically significant cardiovascular disease. 26. Left ventricular ejection fraction defined by MUGA/ECHO below the institutional lower limit of normal. 27. Uncontrolled tumor-related pain 28. Uncontrolled pleural effusion, pericardial effusion, or ascites requiring recurrent drainage procedures (once monthly or more frequently). Patients with indwelling catheters (e.g., PleurX) are allowed. 29. Uncontrolled hypercalcemia (\>1.5 mmol/L ionized calcium or calcium \>12 mg/dL or corrected serum calcium \> ULN) or symptomatic hypercalcemia requiring continued use of bisphosphonate therapy or denosumab. 30. History of autoimmune disease, including but not limited to myasthenia gravis, myositis, autoimmune hepatitis, systemic lupus erythematosus, rheumatoid arthritis, inflammatory bowel disease, vascular thrombosis associated with antiphospholipid syndrome, Wegener's granulomatosis, Sjögren's syndrome, Guillain-Barré syndrome, multiple sclerosis, vasculitis, glomerulonephritis or celiac disease. History of idiopathic pulmonary fibrosis, organizing pneumonia (e.g., bronchiolitis obliterans), drug-induced pneumonitis, idiopathic pneumonitis, or evidence of active pneumonitis on screening chest CT scan 31. History of radiation pneumonitis in the radiation field (fibrosis) is permitted. 32. Active tuberculosis 33. Severe infections within 4 weeks prior to Cycle 1, Day 1, including but not limited to hospitalization for complications of infection, bacteremia, or severe pneumonia 34. Signs or symptoms of infection within 2 weeks prior to Cycle 1, Day 1 35. Received therapeutic oral or IV antibiotics within 2 weeks prior to Cycle 1, Day 1 36. Known human immunodeficiency virus (HIV) 37. Administration of a live, attenuated vaccine within 4 weeks before Cycle 1, Day 1 or anticipation that such a live attenuated vaccine will be required during the study Influenza vaccination should be given during influenza season only 38. Any other diseases, metabolic dysfunction, physical examination finding, or clinical laboratory finding giving reasonable suspicion of a disease or condition that contraindicates the use of an investigational drug or that may affect the interpretation of the results or render the patient at high risk from treatment complications 39. Treatment with systemic immunostimulatory agents (including but not limited to IFNs, IL-2) within 6 weeks or 5 half-lives of the drug, whichever is shorter, prior to Cycle 1, Day 1 40. Treatment with systemic immunosuppressive medications (including but not limited to prednisone, cyclophosphamide, azathioprine, methotrexate, thalidomide, and anti-tumor necrosis factor \[anti-TNF\] agents) within 2 weeks prior to Cycle 1, Day 1 The use of corticosteroids is allowed as premedication for paclitaxel-based regimen. All patients should be premedicated prior to receiving chemotherapy (including with corticosteroids) according to the prescription information of paclitaxel and cisplatin/carboplatin and the institutional standard of care guidance. 41. Currently participating or has participated in a study of an investigational agent and received study therapy or used an investigational device within 4 weeks prior to the first dose of study treatment. 42. Prior anti-cancer monoclonal antibody (mAb), prior chemotherapy, targeted small molecule therapy as first line treatment for the treatment of metastatic or recurrent cervical cancer. 43. Women that are breastfeeding or pregnant 44. Known hypersensitivity to bevacizumab, atezolizumab or any of theirs excipients (including Cremophor) 45. Demonstration of any other neurological or metabolic dysfunction, found upon physical examination or laboratory tests involving a reasonable suspicion of the existence of a disease or condition that contraindicates the use of an experimental drug, or that involves an increased risk to the patient of treatment-related complications 46. No medical or psychiatric illness that may impede the performance of a systemic or surgical treatment.