Disclosed is a device for supporting and connecting an excised organ (such as a heart, a pair of lungs, a kidney, or a liver) during ex vivo perfusion. The device includes a resilient and flexible sheet having a first portion for contacting and supporting the organ thereon, and a second portion comprising an opening for forming a connection between the organ and a conduit to allow fluid communication between the conduit and the organ. The device also includes a magnetic material embedded in the second portion of the sheet for magnetically securing the connection between the conduit and the organ.