This study will evaluate the efficacy and tolerability of the combination of Gleevec and Gemzar in patients with ovarian cancer, who have progressed after receiving at least one prior chemotherapy treatment. Gleevec is an oral chemotherapy drug used is this study and Gemzar is an IV chemotherapy drug used. Participation in the treatment portion of the study will continue as long as the patient's tumors shrink or remain stable and as long as the patient is able to tolerate the study drug. The follow-up portion of the study will last for 5 years.