OUTLINE: Cohorts of 6 patients are enrolled at 4 antibody dose levels. After at least 6 patients have been treated on study for at least 30 days, the next dose level may be initiated provided that fewer than 2 of the first 6 evaluable patients experience dose limiting toxicity (DLT) related to either the antibody or the combination of antibody with interleukin-2 (IL-2). If 2 or more patients experience DLT, the next cohort is enrolled at the antibody dose midway between the current and previous dose levels. An additional 6 patients are entered at the maximum tolerated dose. On course 1, patients receive IL-2 subcutaneously (SQ) daily on days 1-7 and humanized anti-HER-2 monoclonal antibodies IV over 90 minutes on day 7. Patients receive intermediate dose pulsed IL-2 SQ on days 8-10 and low dose IL-2 SQ on days 11-20. On course 2 and all subsequent courses, patients receive humanized anti-HER2 monoclonal antibodies IV immediately prior to IL-2 (SQ) on day 1 and intermediate dose pulsed IL-2 (SQ) on days 1-3. Patients receive low dose IL-2 (SQ) on days 4-14. Treatment may be delayed up to 7 days to allow for recovery and for tumor restaging, but daily low dose IL-2 is continued in this interval. Patients are followed at 4 weeks and then every 8 weeks until progression or death.