Methods and apparatus for use in capturing embolic debris during a surgical procedure in a patient are provided. The methods include utilizing an embolic capture device that is configured for delivery into a patient via a transapical delivery approach and via an arterial delivery approach, and determining which of a transapical delivery approach and an arterial delivery approach should be used with the patient. The methods also include inserting the embolic capture device within a delivery system, and deploying the embolic capture device at a desired location within the patient's blood vessel that is downstream from the location of the surgical procedure. The same embolic capture device is configured for use with a transapical delivery approach and an arterial, such as a transfermoral, delivery approach.