We study the interaction between need- and merit-based university grants in a non-selective higher education system. Using administrative data from a northern Italian university, we analyse how eligibility criteria affect enrolment, academic performance, and labour market outcomes. We document a trade-off between the two criteria, with merit requirements acting as endogenous screening. We rationalise this trade-off with a three-period model predicting that merit thresholds increase effort among students with higher expected ability but may discourage effort among students at risk of falling short, as losing the grant reduces expected utility. We support these predictions using a difference-in-differences estimator for multiple treatments, separately analysing students switching into and out of need- and merit-based eligibility. Our results show that grants target disadvantaged but academically strong students, generate perverse incentive effects that vary by gender, and fail to retain a substantial share of initial recipients.