The objectives of this clinical trial are to study the effects of a range of renal function on the safety and pharmacokinetics of Replagal enzyme replacement therapy in patients with Fabry Disease. Patients with clinical and genetic or biochemical evidence of Fabry Disease will be selected for this clinical trial. Sixty (60) patients will be enrolled in this clinical trial. Enrollment will be stratified based on baseline renal function as per FDA guidelines. This is an open label clinical study. Baseline evaluations will be conducted over an approximately 3 day period. Patients will receive intravenous (IV) infusions of Replagal at a dose of 0.2 mg/kg/dose every 2 weeks. Pharmacokinetic studies will be performed with the first administered dose. The safety evaluations for patients in this study will include vital signs, physical examinations, adverse event (AE) assessments, electrocardiograms (ECG), and a battery of laboratory tests including measurement of anti-Replagal antibodies. An overview of the study appears in Appendix A.