Poliheuristic (PH) theory has received strong empirical support for its depiction of the option selection process: it explains how leaders evaluate, weigh, and ultimately choose among a set of policy options. But PH theory does not explain how this initial set of options is generated. Foreign policy problem representation (PR) research has shown that the way in which leaders mentally represent decision problems determines which options are generated for consideration. In this article, we develop a hybrid PR‐PH framework in which leaders’ problem representations drive an unconscious screening process that occurs prior to the conscious screening of PH stage 1. We test hypotheses drawn from this framework experimentally and find that key elements of PR (most notably, perceived threat) determine which options consciously occur to decision makers and which options are not generated during a simulated foreign policy crisis.