This phase II trial is trying to determine what effect adding an oral drug (MLN1028) to weekly paclitaxel will have in the treatment of advanced, recurrent or persistant Endometrial CancerA Phase 2, Randomized Study of MLN0128 (a Dual TORC1/2 Inhibitor), MLN0128+MLN1117 (a PI3Kα Inhibitor), Weekly Paclitaxel, or the Combination of Weekly Paclitaxel and MLN0128 in Women With Advanced, Recurrent, or Persistent Endometrial Cancer

Exclusion

1. Positive serum pregnancy test during the screening period or a positive urine pregnancy test on Day 1 before first dose of study drug. Women who are lactating and breastfeeding are not eligible.
2. Previous treatment with any weekly taxane regimen.
3. History of severe hypersensitivity reactions to paclitaxel or any of its excipients.
4. Previous treatment with phosphoinositide 3-kinase (PI3K), serine/threonine-specific protein kinase (AKT), dual PI3K/ mammalian (or mechanistic) target of rapamycin (mTOR) inhibitors, target of rapamycin complex 1/2 (TORC1/2) inhibitors or TORC1 inhibitors.
5. Initiation of treatment with hematopoietic growth factors, transfusions of blood and blood products, or systemic corticosteroids (either intravenous [IV] or oral steroids, excluding inhalers) within 1 week before administration of the first dose of study drug (participants already receiving erythropoietin on a chronic basis for >=4 weeks are eligible).
6. Participants who are taking proton pump inhibitors (PPIs) within 7 days of the first dose of study drug or who require treatment with PPIs throughout the trial or those who are taking H2 receptor antagonists within 24 hours of the first dose of study drug.
7. A prothrombin time (PT) or activated partial thromboplastin time (aPTT) above the ULN or a history of a coagulopathy or bleeding disorder.
8. Known hepatitis B surface antigen-positive, or known or suspected active hepatitis C infection.
9. Sensory or motor neuropathy >= Grade 2.
10. Central nervous system (CNS) metastasis, endometrial leiomyosarcoma, or endometrial stromal sarcoma.
11. Manifestations of malabsorption due to prior gastrointestinal surgery, gastrointestinal disease, or for some other reason that may alter the absorption of sapanisertib or MLN1117. In addition, participants with enteric stomata are also excluded.
12. Other clinically significant co-morbidities, such as uncontrolled pulmonary disease, active CNS disease, active infection, or any other condition that could compromise participation of the participant in the study.
13. Known human immunodeficiency virus infection.

14. History of any of the following within the last 6 months before administration of the first dose of study drug:

    • Ischemic myocardial event, including angina requiring therapy and artery revascularization procedures.
    • Ischemic cerebrovascular event, including transient ischemic attack and artery revascularization procedures.
    • Requirement for inotropic support (excluding digoxin) or serious (uncontrolled) cardiac arrhythmia (including atrial flutter/fibrillation, ventricular fibrillation, or ventricular tachycardia).
    • Placement of a pacemaker for control of rhythm.
    • New York Heart Association Class III or IV heart failure.
    • Pulmonary embolism.

15. Significant active cardiovascular or pulmonary disease before administration of the first dose of study drug, including:

    • Uncontrolled hypertension (that is, either systolic blood pressure > 180 millimeter of mercury [mm Hg] or diastolic blood pressure > 95 mm Hg).
    • Pulmonary hypertension.
    • Uncontrolled asthma or oxygen saturation < 90% by arterial blood gas analysis or pulse oximetry on room air.
    • Significant valvular disease; severe regurgitation or stenosis by imaging independent of symptom control with medical intervention; or history of valve replacement.
    • Medically significant (symptomatic) bradycardia.
    • History of arrhythmia requiring an implantable cardiac defibrillator.
    • Baseline prolongation of the rate-corrected QT interval (QTc; example, repeated demonstration of QTc interval > 480 millisecond [ms], or history of congenital long QT syndrome, or torsades de pointes).
16. Diagnosed or treated for another malignancy within 2 years before administration of the first dose of study drug or previously diagnosed with another malignancy and have any evidence of residual disease. Participants with non-melanoma skin cancer or carcinoma in situ of any type are not excluded if they have undergone complete resection.
17. Participants with endometrioid histology and histologically confirmed expression of estrogen receptors (ER) and/or progesterone receptors (PgR) who have not received prior endocrine therapy and for whom endocrine therapy is currently indicated.