If a set of agents tries to reach an agreement, there will exist an Agreement Space that models the maximum valid space according to the individual constraints of each agent, regarding the terms of the agreement. Previous approaches to Agreement Spaces model them by means of a Counsellor Agent that will help to agents trying to obtain an agreement knowing all the possible terms in that agreement, and monitoring such Agreement Space as it is being built. But, what happens when there is no Counsellor Agent? Is there any way of modeling such space in a distributed way by the different agents trying to achieve such agreement? This paper presents a possible solution to that question using a Consensus Network to build such Agreement Space, allowing to know if there are possibilities to achieve an agreement or not.