Digital competence is among the basic key competences for digital learning and employability. For this reason, its acquisition and development should be on the agenda of higher education institutions (HEIs) who wish to prepare their students to thrive in an ever faster evolving digital labour market. However, the existence of a valid instrument that can help HEIs measuring and further integrating digital competence into pedagogical and organisational practices with sufficient precision is yet to be accomplished. This article provides a valid and reliable instrument to measure higher education students' digital competence on the basis of the European Digital Competence Framework for Citizens, also known as DigComp. The instrument was applied to a sample of 411 students from a mid-large public HEI and the results attest its validity and reliability. In addition, the study explores proficiency differences among students from different fields of education and training, and gender. Results demystify the idea that ICT students are more digitally competent than those in other fields of study, but suggest males score higher than females, which feeds into the ongoing debate of gender differences in relation to digital technologies and the readiness of females for the digital labour market. The results lead to clear implications for research and practice.