Statistical tests based on Granger causality are used in finance to detect the links among financial institutions that might be interpreted as channels along which shocks spread through the financial system. The links' structure can be formally defined as a network. Despite the growing interest in the financial network topic and the increasing understanding that there might be different channels over which financial contagion spreads, the literature on combinations of financial or economic networks is still very limited. In fact, the available competing approaches to estimate networks among financial institutions suggest the coexistence of different channels for the spread of risk. It is therefore of fundamental importance to allow for the possibility of combining those alternative risk spreading channels to obtain a more complete picture of risk propagation within the financial system. Furthermore, when focusing on the approaches for estimating financial company links, we believe that Granger causality should be contrasted with methods pointing in a more clear way to the risk dimension, for instance by detecting causality among quantiles. Therefore, we utilize parametric and notparametric approaches for the estimation on the networks based on quantile causality tests.We show how to use a linear factor model as a device for estimating a combination of several networks that monitor the links across variables from different viewpoints, and we demonstrate that Granger causality test should be combined with quantile-based causality when the focus is on risk propagation. We empirically validate our two main proposals concerning the use of quantile causality to infer the network structure across a set of (financial) variables, and the model-based combination of causality networks. By using different datasets (US industrial portfolio returns, and a set of large banks and insurance companies), we first provide evidence of the different network structures that we can estimate from Granger causality and quantile causality. We then show how the networks differ across methods and over two different samples relating to the global financial crisis (2006)(2007)(2008) and to the years 2011-2015. Our results suggest that quantile causality networks are denser than Granger causality networks, a finding of relevance to systemic risk interpretation, because a denser network is indicative of a much larger set of links, and thus explains a possibly greater systemic effect of shocks.Electronic copy available at: https://ssrn.com/abstract=2909585 Abstract Causality is a widely-used concept in theoretical and empirical economics. The recent financial economics literature has used Granger causality to detect the presence of contemporaneous links between financial institutions and, in turn, to obtain a network structure. Subsequent studies combined the estimated networks with traditional pricing or risk measurement models to improve their fit to empirical data. In this paper, we provide two contributions: we show how to use a linear facto...