Francis Diebold and Yilmaz spillover index is based on VAR (Vector Autoregression) model. It mainly uses for the connectedness /transmission of business cycles.
In fact, Eviews have several add-ins to install. One of them is the "dyindex" that calculates the Diebold-Yilmaz index of spillover using forecast error variance decomposition method of a VAR model. For further details, see: http://www.eviews.com/Addins/addins.shtml