 Patients will be enrolled in the study after all study-specific entry criteria are met and informed consent is obtained. Patients will be required to attend regular clinic visits to receive study medication and have their status monitored. They will also be required to have radiologic tumor assessments performed at multiple times throughout the study. A detailed explanation can be provided by the Investigator conducting this study. Trabectedin 1.3 mgm2 will be given every 21 days to patients intravenously i.v. over a 3-hour period via a central venous catheter referred to as a central line which is a tube ie, catheter placed into a large vein that is used to administer medications. Dexamethasone 4 mg will be given orally p.o. the day before trabectedin and dexamethasone 20 mg will be given i.v. 30 minutes before trabectedin. Dexamethasone 4 mg p.o. will be given for 2 days following trabectedin administration. 