By examining the relationship between the culture of internationalisation and the use of English in university classrooms, my paper demonstrates that the acquisition of one of the most important academic skills, i.e. writing in English, is efficiently achieved with the aid of process writing combined with peer reviewing. International students learn from one another under the guidance of the teacher as they adapt previous knowledge to the demands of the Swedish university classroom. As the lingua franca and the means by which students are most commonly assessed, English has a particularly important role to play in the international classroom. The conventions of academic writing must be learned and practised. With the aid of process writing and peer reviewing, students hone their writing skills at the same time as they improve their critical faculties. In this way, they are better able to demonstrate their knowledge and improve their results.