Inclusion Criteria:

* Cytologically or pathologically confirmed gallbladder carcinoma or cholangiocarcinoma

* No ampullary carcinoma
* Locally advanced unresectable or distant metastatic disease
* Measurable disease
* Patients with biliary obstruction must have decompression of the biliary tree by ERCP and stenting or percutaneous drainage
* No prior systemic treatment for metastatic or unresectable locally advanced disease
* No known brain metastases
* Zubrod performance status of 0-1
* Leukocyte count ≥ 3,000/mm\^3
* ANC ≥ 1,000/mm\^3
* Platelet count ≥100,000/mm\^3
* Total serum bilirubin ≤ 1.5 times upper limit of normal (ULN)

* For patient who had decompression of the biliary tree within the past 14 days, stability of the bilirubin level needs to be confirmed with two measurements within 5 to 7 days of each other
* Serum albumin ≥ 2.5 g/dL
* AST and ALT ≤ 2.5 times ULN (≤ 5 times ULN for liver metastases)
* Creatinine clearance ≥ 60 mL/min
* Not pregnant or nursing
* Fertile patients must agree to use effective contraception
* No active biliary sepsis
* No bleeding diathesis
* No uncontrolled or clinically significant cardiovascular disease, including any of the following:

* Myocardial infarction within the past 6 months
* Uncontrolled angina within the past 6 months
* NYHA class II-IV congestive heart failure
* Grade 3 cardiac valve dysfunction
* Cardiac arrhythmia not controlled by medication
* History of stroke or transient ischemic attack within the past 6 months
* History of arterial thrombotic event of any type in the past 6 months
* No uncontrolled hypertension, as evidenced by systolic BP ≥ 150 mm Hg or diastolic BP ≥ 100 mm Hg, within the past 28 days
* Must be able to swallow and tolerate oral medications

* No gastrointestinal tract disease or prior abdominal surgery that results in an inability to absorb oral medication
* No other prior malignancy except adequately treated basal cell or squamous cell skin cancer, in situ cervical cancer, adequately treated stage I or II cancer from which the patient is currently in complete remission, or any other cancer from which the patient has been disease-free within the past 3 years
* No concurrent grapefruit or its juice
* At least 6 months since 1 adjuvant or neoadjuvant regimen of chemotherapy, hormonal therapy, immunotherapy, radiotherapy (to < 25% of bone marrow only), or chemoradiotherapy before documented recurrence or metastatic disease
* No prior treatment with any antiangiogenic agent or any EGFR inhibitors for any reason
* Concurrent multiple anti-hypertensive medications allowed
* No plans to receive concurrent chemotherapy, hormonal therapy, radiotherapy, immunotherapy, or any other therapy, including herbal or alternative medications for treatment of cancer