PART I: Patients receive irinotecan hydrochloride intravenously (IV) over 90 minutes on days 1, 8, 15, and 22 and 7-hydroxystaurosporine IV over 3 hours on days 2 and 23. Courses repeat every 42 days in the absence of disease progression or unacceptable toxicity. Cohorts of 3-6 patients receive escalating doses of irinotecan hydrochloride and 7-hydroxystaurosporine until the maximum tolerated dose (MTD) is determined. The MTD is defined as the dose preceding that at which 2 of 3 or 2 of 6 patients experience dose-limiting toxicity. Blood samples are collected periodically during study treatment.