This paper provides the first available evidence on overeducation/overskilling based on AlmaLaurea data. We focus on jobs held 5 years after graduation by pre-reform graduates in 2005. Overeducation/overskilling are relatively high at 11.4 and 8% when compared to EU economies. Ceteris paribus they tend to be more frequent among children of parents with lower educational levels, through school tracking. Most arts degrees and social sciences, but also Geology and Biology are associated to both types of the educational mismatch. The quality of education is also a factor, suggesting that in addition to the low demand for skills, one should also reckon the inability of the educational system to provide work-related skills. Moreover, we find a non-conditional wage penalty of 20% and 16% and a conditional one of about 12% and of 7%, respectively. Heckit returns a sample selection corrected penalty slightly higher, supporting not only the job competition and job assignment models, but also the human capital model.