In the course of the written production, the teacher gives tasks for the students to practice their skill. The cultural contexts of tasks presented in FLE methods are sometimes far from the learner’s imagination. To reduce the problem of cultural xenicity, it is necessary for a teacher to modify these spots in order to encourage the learner to produce. To produce texts that represent the advanced level, the student must be directed in order to express ideas logically. In this context, the cognitive approach seems appropriate to apply in the course of written production. This article details the adaptation of the tasks of the written production of the cultural context of the French language to that of the language of the learner and also describes the application of the cognitive approach in the learning of the competence of the written production at the advanced level.