The paper outlines the adverse consequences and challenges induced by COVID-19 pandemic for the whole world and for universities in particular. The example of Constantine the Philosopher University in Nitra illustrates the difficulties and challenges caused by the pandemic in relation to the two main activities arising from the university mission-teaching and research. It presents some particular aspects of the university activities adversely affected by COVID-19 and shares the measures to minimize the resulted damages. Furthermore, it demonstrates that, despite complications induced by COVID-19, teaching, research, and international cooperation have been successfully continued.