The present invention provides devices and associated methods for delivering side-to-side and end-to-side anastomotic connectors to join any two (or more) vessels together such that fluid communication is established between the lumens of the two or more joined vessels. The systems of the present invention employ one or more deployment mechanisms over which the anastomotic connector is positioned for delivery and subsequently deployment within a vessel. The deployment mechanisms may be inflatable balloons or expandable baskets or a combination thereof or the like, which, when inflated and/or expanded, cause one or more portions of the anastomotic connector to deploy.