1. Process for displaying—in a web browser of a user computer terminal—the rendering that is produced by an application that is designed to be executed independently by a computer operating system, characterized in that it comprises a stage that consists in executing (E 22 , E 23 ) within the browser a software module that triggers execution (E 24 , E 25 ) of the application by the operating system of the terminal and implementing, during the execution of the application, stages that consist in: Detecting (E 28 ) at least one window that is generated by the application and that relates to the rendering generated by the application; For each window that is detected in the preceding stage, rendering the window that is detected hierarchically depending on the software module, in such a way as to redirect (E 28 ) the rendering produced by the application toward a window that is displayed in the browser.