This phase I trial is studying the side effects and best dose of giving 7-hydroxystaurosporine together with irinotecan hydrochloride in treating patients with metastatic or unresectable solid tumors, including triple-negative breast cancer (currently enrolling only patients with triple-negative breast cancer since 6/8/2007). Drugs used in chemotherapy use different ways to stop tumor cells from dividing so they stop growing or die. Giving 7-hydroxystaurosporine together with irinotecan hydrochloride may help kill more cancer cells by making tumor cells more sensitive to the drug.