Student engagement research in university students has been scarce, despite its major positive role on performance, degree completion and mental health. Social and emotional competencies, which are currently called twenty-first-century skills, exert some impact on student engagement in youth. Since engagement is cultural-sensitive, individual (social and emotional competencies) and cross-cultural (human developmental index and unemployment rate) characteristics were examined in association with student engagement in youth. This study included 2,092 participants from nine countries/regions, aged between 17 and 27 years (M = 21.52, SD = 2.27), mostly cisgender woman (n = 1,035, 68.7%) and undergraduate (n = 1,401, 96.2%). Data were collected using a cross-sectional online survey that included the Student Engagement Scale, the Emotional Skills and Competence Questionnaire, and the prosocial behaviour/resources subscale of the Strengths and Difficulties Questionnaire. Multilevel-models showed that social and emotional competencies were relevant predictors of student engagement independently of the country-level variables. Moreover, student engagement varied with country/region human development and unemployment rate, with students from higher developed countries/regions and lowered unemployment reporting lower engagement. This study reinforces the need to implement evidence-based social and emotional learning programmes in universities worldwide, as well as public policies that can influence engagement and protect youth.