Inclusion Criteria

- INCLUSION CRITERIA:

- Patients must have histopathological confirmation of hepatocellular carcinoma (HCC)
by the Laboratory of Pathology of the NCI prior to entering this study.

Or

histopathological confirmation of carcinoma in the setting of clinical and radiological
characteristics which, together with the pathology, are highly suggestive of a diagnosis
of HCC.

- Patients must have disease that is not amenable to potentially curative resection or
ablative techniques. In addition, disease must not be amenable to or have progressed
on transhepatic arterial chemoembolization (TACE). Patients must not be considered
potential candidates for liver transplantation. This determination will be made after
hepatobiliary surgical input at the NCI multidisciplinary conference.

- If liver cirrhosis is present, patient must have a Child-Pugh A classification.

- Patients with cirrhosis must have had esophagogastric endoscopy within the previous 6
months prior to study entry for the assessment of varices. If the patient has not had
this done they must be willing to undergo this procedure prior to study entry.

- Age greater than or equal to 18 years

- Life expectancy of greater than 3 months.

- ECOG performance status 0-2.

- Patients must have normal organ and marrow function as defined below:

- Absolute neutrophil count greater than or equal to 1,500/mcL

- Platelets greater than or equal to 60,000/mcL without transfusion support within
the past 30 days

- Total bilirubin less than or equal to 3 mg/dl.

- AST/ALT less than or equal to 10 times upper limit of normal

- Creatinine less than or equal to 1.5 times upper normal limits OR creatinine
clearance greater than or equal to 40mL/min/1.73 m(2) for patients with
creatinine levels above institutional normal, as calculated by the Cockcroft
Gault formula.

- Patients must have recovered from any acute toxicity related to prior therapy,
including surgery. Toxicity should be less than or equal to grade 1 or returned to
baseline.

- Patients must not have other invasive malignancies within the past 5 years (with the
exception of non-melanoma skin cancers or non-invasive bladder cancer).

- Patient must be able to understand and willing to sign a written informed consent
document.

Additional Inclusion Criteria for PHASE I Portion:

- Patients may have measurable or evaluable disease only.

- Prior therapy: prior systemic therapy with sorafenib is allowed.

Additional Inclusion Criteria for PHASE II Portion:

- All patients will be required to have measurable disease.

- Prior therapy: prior systemic therapy with sorafenib is allowed.

EXCLUSION CRITERIA:

- Patients who have had chemotherapy (other than sorafenib treatment), large field
radiotherapy, or major surgery must wait 4 weeks prior to entering the study.

- Patients may not be receiving any agents not approved by the FDA within the past 4
weeks.

- Patients with known brain metastases will be excluded from this clinical trial
because of their poor prognosis and because they often develop progressive neurologic
dysfunction that would confound the evaluation of neurologic and other adverse
events.

- Proteinuria, as demonstrated by a 24-hour protein of greater than or equal to 2000
mg. Urine protein will be screened by urine protein-creatinine ratio (UPC). For UPC
ratio greater than 1.0, a 24-hour urine protein will need to be obtained and the
level should be less than 2000 mg for patient enrollment.

- Uncontrolled intercurrent illness including, but not limited to, hypertension
(systolic BP greater than 140, diastolic BP greater than 90), ongoing or active
systemic infection, symptomatic congestive heart failure, unstable angina pectoris,
cardiac arrhythmia or psychiatric illness/social situations that would limit
compliance with study requirements.

- No anti-coagulation therapy is allowed with the exception of low-dose aspirin.

- No bleeding diathesis.

- Patients with a history of bleeding varices in previous 1 year are excluded (unless
patient has subsequently had a liver transplant. Those with gastric varices or
varices that are deemed as high risk by the endoscopist should be placed on
appropriate medical therapy as advised by the gastroenterologist.

- History of peptic ulcer disease or gastritis within 6 months of TRC105
administration, unless patient has received adequate treatment for peptic ulcer
disease and has evidence of complete resolution documented by EGD. Mild gastritis is
allowed.

- QTc greater than 500 msec

- HIV-positive patients receiving anti-retroviral therapy are excluded from this study
due to the possibility of pharmacokinetic interactions between antiretroviral
medications and sorafenib or TRC105. HIV positive patients not receiving
antiretroviral therapy are excluded due to the possibility that sorafenib or TRC105
may worsen their condition and the likelihood that the underlying condition may
obscure the attribution of adverse events with respect to sorafenib or TRC105.

- History of hypersensitivity reaction to human or mouse antibody products

- Patients with a history of familial bleeding disorders

- Patients with a history of hereditary hemorrhagic telangiectasia (Osler-Weber- Rendu
Syndrome).

- Pregnancy and breast feeding are exclusion factors. Enrolled patients must agree to
use adequate contraception (hormonal or barrier method of birth control; abstinence)
prior to study entry, the duration of study participation and 3 months after the end
of the treatment.

- Patients with unhealed wounds for more than 30 days.

INCLUSION OF WOMEN AND MINORITIES:

-Men and women of all races and ethnic groups are eligible for this trial.