Welvie: A new surgery support program from Medicare. Welvie is a new surgery support program from Medicare that is being evaluated in the State of Ohio.The program is being offered at no charge to a group of Medicare beneficiaries selected by the Department of Health and Human Services.Welvie is an online program designed by surgeons to empower patients.It walks you through the entire surgery decision-making process - - - from diagnosis to recovery - - - in a unique step-by-step approach.elvie is an online program designed by surgeons to empower patients. It walks you through the entire surgery decision-making process - - - from diagnosis to recovery - - - in a unique step-by-step approach.