A method of performing an endovascular procedure within a patient can include inserting a filter into the patient's vascular system to restrict the passage of emboli through the filter while allowing blood to flow through the filter. The method can also include inserting a prosthetic valve into the patient's vascular system in a compressed state, and advancing the prosthetic valve to a site of implantation upstream of the filter. Additionally, the method includes implanting the prosthetic valve at the site of implantation by expanding at least a portion of the prosthetic value, and removing the filter from the patient's vascular system.