Pseudopartitive constructions are constructions of the form DP-of-NP, where the quantificational, collective or container DP head is interpreted as measuring the embedded NP. A verb can agree either with the head (Head Agreement) or with the embedded NP (Embedded Agreement). We argue that agreement alternations with pseudopartitives form part of lin- guistic competence. Specifically, we account for them in terms of a dual la- belling option open to of -DP/NP constituents, as either PPs (of projecting) or as NPs (of not projecting). Thus, we reject the conclusion that pseudopar- titives are to be accounted for in processing terms, and wholly subsumed un- der agreement attraction. In two studies, we investigate subject-verb num- ber agreement (Study 1, N = 103) and gender agreement (Study 2, N = 87), in an acceptability task with pseudopartitive constructions involving either a collective noun or an approximate quantifier, controlling for the nature of the head. Results show that Italian pseudopartitives allows embedded agree- ment, depending on the speaker and on the nature of the head (quantifiers better than collective Ns).