We consider a 2-date model of a financial exchange economy with finitely many agents having non-ordered preferences and portfolio constraints. There is a market for physical commodities for every state today and tomorrow, and financial transfers across time and states are allowed by means of finitely many nominal or numeraire assets, as in Aouani and Cornet. We prove a general existence result of equilibrium via the existence of quasi-equilibrium, in a financial exchange economy for which portfolios are defined by linear constraints.