Axitinib (AG-013736) in Patients With Progressive, Recurrent/Metastatic Adenoid Cystic Carcinoma

Inclusion Criteria: * Patients must have MSKCC pathologically confirmed adenoid cystic carcinoma. Cancers arising from non-salivary gland primary sites are allowed. * Patients must have locally advanced and/or recurrent and/or metastatic disease not amenable to potentially curative surgery or radiotherapy. * At least 2 weeks must have elapsed since the end of prior systemic treatment (4 weeks for bevacizumab- containing regimens), radiotherapy, or surgical procedure with resolution of all treatment-related toxicity to NCI CTCAE Version 4.0 grade ≤1 (or tolerable grade 2) or back to baseline except for alopecia or hypothyroidism. * Patients must have RECIST v1.1 measurable disease, defined as at least one lesion that can be accurately measured in at least one dimension (longest diameter to be recorded for non-nodal lesions and short axis for nodal lesions) as \> or = to 20 mm with conventional techniques or as \> or = to 10 mm with spiral CT scan. * Patients must have documentation of a new or progressive lesion on a radiologic imaging study performed within 6 months prior to study enrollment (progression of disease over any interval is allowed) and/or new/worsening disease related symptoms. Note: This assessment will be performed by the treating investigator. Evidence of progression by RECIST criteria is not required. * Patients must have archival tissue from the primary tumor or metastases available for correlative studies. Either a paraffin block or twenty unstained slides containing 5μm sections are acceptable. If twenty slides are not available, a lesser amount may be acceptable after discussion with the study Principal Investigator, Dr. Alan L. Ho. * Male or female, age \> or = to 18 years. * ECOG performance status \< or = to 2 (Karnofsky \> or = to 60%, see Appendix A). * Life expectancy of ≥ 12 weeks. Adequate organ function as defined by the following criteria: * absolute neutrophil count (ANC) \> 1000 cells/mm3 * platelets \> or = to 75,000 cells/mm3 * Hemoglobin \> or = to 9.0 g/dL * AST and ALT \< or = to 2.5 x upper limit of normal (ULN), unless there are liver metastases in which case AST and ALT \< 5.0 x ULN * Total bilirubin \< or = to 1.5 x ULN * Serum creatinine \< or = to 1.5 x ULN or calculated creatinine clearance \> or = to 60 ml/min * Urinary protein \< 2+ by urine dipstick. If dipstick is \> or = to 2+ then a 24-hour urine collection can be done and the patient may enter only if urinary protein is \< 2 g per 24 hours. * Women of child-bearing potential and men must agree to use adequate contraception prior to study entry, for the duration of study participation, and for 6 months after discontinuing study treatment. Exclusion Criteria: * Major surgery \< 2 weeks or radiation therapy \< 2 weeks of starting the study treatment. * Gastrointestinal abnormalities including: * inability to take oral medication; * malabsorption syndromes. * Current use or anticipated need for treatment with drugs that are known potent CYP3A4 inhibitors (i.e., grapefruit juice, verapamil, ketoconazole, miconazole, itraconazole, erythromycin, telithromycin, clarithromycin, indinavir, saquinavir, ritonavir, nelfinavir, lopinavir, atazanavir, amprenavir, fosamprenavir and delavirdine) * Current use or anticipated need for treatment with drugs that are known CYP3A4 or CYP1A2 inducers (i.e., carbamazepine, dexamethasone, felbamate, omeprazole, phenobarbital, phenytoin, amobarbital, nevirapine, primidone, rifabutin, rifampin, and St. John's wort) * Requirement for anticoagulant therapy with oral vitamin K antagonists. Low-dose anticoagulants for maintenance of patency of central venous access devise or prevention of deep venous thrombosis is allowed. Therapeutic use of low molecular weight heparin is allowed. * Active seizure disorder or evidence of brain metastases, spinal cord compression, or carcinomatous meningitis. * A serious uncontrolled medical disorder or active infection that would impair their ability to receive study treatment. * Any of the following within the 12 months prior to study drug administration: myocardial infarction, uncontrolled angina, coronary/peripheral artery bypass graft, symptomatic congestive heart failure, cerebrovascular accident or transient ischemic attack and 6 months for deep vein thrombosis or pulmonary embolism. * Known human immunodeficiency virus (HIV) or acquired immunodeficiency syndrome (AIDS)-related illness. * Dementia or significantly altered mental status that would prohibit the understanding or rendering of informed consent and compliance with the requirements of this protocol. * Female patients who are pregnant or lactating. * Other severe acute or chronic medical or psychiatric condition, or laboratory abnormality that may increase the risk associated with study participation or study drug administration, or may interfere with the interpretation of study results, and in the judgment of the investigator would make the patient inappropriate for entry into this study.