Graduate higher education coverage has expanded worldwide due to globalisation, the demand for more specialised human resources and online education, exacerbated by the COVID-19 pandemic. This article validates an evaluation model of academic service quality in graduate studies that integrates HiEduQual instruments with the Kano method for graduate students at a Peruvian university. A survey was conducted among graduate students (masters programmes and continuing education) at Universidad Continental, obtaining 326 responses. The study found that the attributes that have the greatest impact on student satisfaction include the presence of foreign professors, international activities, continuous improvement of university infrastructure and constant evaluation; the dimension associated with internationalisation plays an essential role in the satisfaction of graduate students, particularly in a globalised context.