Patients receive oral gefitinib once daily on days 1-14 and oral capecitabine twice daily on days 8-21. Treatment repeats every 28 days in the absence of disease progression or unacceptable toxicity. Cohorts of 3-6 patients receive escalating doses of gefitinib and capecitabine until the maximum tolerated dose (MTD) is determined. The MTD is defined as the dose preceding that at which at least 2 of 6 patients experience dose-limiting toxicity.