I. Determine the maximum tolerated dose of UCN-01 (7-hydroxystaurosporine) and irinotecan (irinotecan hydrochloride) in patients with resistant solid tumors. (Part I [closed to accrual as of 6/8/2007]) II. Determine the dose-limiting toxicity of this regimen in these patients. (Part I [closed to accrual as of 6/8/2007]) III. Determine the types of toxic effects of this regimen in these patients. (Part I [closed to accrual as of 6/8/2007]) IV. Determine the anti-tumor activity in terms of overall response rate (partial response [PR] and complete response [CR]), clinical benefit rate (PR, CR, and stable disease), and time to disease progression in patients with estrogen receptor-negative, progesterone receptor-negative, and HER-2 not amplified (triple negative) locally recurrent or metastatic breast cancer treated with this regimen. (Part II) V. Determine the side effect profile of this regimen in patients with triple negative recurrent breast cancer. (Part II)