Inclusion Criteria:

- Histologically or cytologically confirmed solid tumors that are refractory to
standard therapy or for which no standard therapy exist

- Age ≥ 18 years

- ECOG Performance Status of 0 or 1

- LVEF (measured by Echocardiogram) > 50%

- No gastrointestinal bleeding within 1 year of study entry.

- Adequate organ and marrow function:

- Hemoglobin ≥ 10g/dL

- Absolute Neutrophil Count ≥ 1500/mm3

- Platelet Count ≥ 100,000/mm3

- AST & ALT ≤ 2.5 x ULN

- Bilirubin ≤ 1.5 x ULN

- Cr Cl ≥ 50 mL/min (as determined by the Cockcroft-Gault equation or by 24-hour
urine collection)

- Prior therapy against VEGF or VEGFRs including, but not limited to bevacizumab,
sunitinib, sorafenib, pazopanib, motesanib (AMG706), or cediranib (AZD2171), is
permitted so long as the agent does not have any known activity against DLL4 and the
last dose received s at least 6 weeks prior to first dose of MEDI0639.

- Life expectancy ≥ 12 weeks

- Females of childbearing potential must be surgically sterile, have a sterile male
partner, be premenarchal or at least 2 years postmenopausal, practice abstinence or
otherwise must use 2 effective methods of contraception from the time of initiation
of investigational product.

- Males, unless surgically sterile, must use 2 effective methods of contraception with
a female partner and must agree to continue using such contraception for 90 days
after the last dose of MEDI0639

Exclusion Criteria:

- Concurrent enrollment in another investigational clinical study

- Receipt of any investigational anticancer therapy within 4 weeks prior to the first
dose of MEDI0639 or in the case of monoclonal antibodies, 6 weeks prior to the first
dose of MEDI0639

- Concurrent or previous treatment with inhibitors of DLL4

- Any concurrent chemotherapy, radiotherapy, immunotherapy, biologic or hormonal
therapy for cancer treatment

- Known bleeding diathesis, esophageal varices, or angioplasty

- Pulmonary hemorrhage or gross hemoptysis within 12 months

- Known arterial or venous thrombosis or pulmonary embolism within 2 years

- Concurrent use of systemic low molecular weight heparin or low dose warfarin

- Presence of brain metastases

- Cerebrovascular accident or transient ischemic attack within 2 years

- Cardiovascular events, such as myocardial infarction, unstable/severe angina,
coronary/peripheral artery bypass graft, unstable cardiac arrhythmia requiring
medication, congestive heart failure (NYHA > class II), within 2 years

- Tumors with squamous cell histology

- Major surgical procedure within 90 days

- Pregnancy or lactation

- Known HIV positive or Hepatitis A, B, or C infection