Patients will be treated with oral Tarceva daily for 21 days each cycle. Patients will receive Avastin by IV on day 1 of each 21-day cycle. If a patient has no grade 3 or 4 toxicities after the 1st cycle, then the patient may continue the same doses of Tarceva and Avastin for another cycle. If the patient has response or stable disease after 6 weeks (2 cycles), the patient may continue on the same doses of Tarceva and Avastin. A patient may receive treatment on this study for up to one year, unless his or her disease progresses or side effects become too severe.