Patients receive oral erlotinib once daily on days -6 to 21 for the first course only and cisplatin IV over 60 minutes on day 1. For the second and subsequent courses, patients receive oral erlotinib once daily on days 1-21 and cisplatin as in course 1. Treatment repeats every 21 days for up to 6 courses in the absence of disease progression or unacceptable toxicity. Patients with stable or responding disease after 6 courses may continue to receive erlotinib alone until disease progression.