In Breton, lexical subjects occur both in finite clauses and infinitival clauses. Within the Principles and Parameters model, the question arises as to how infinitival subjects can be Case-licensed, since the finite Tense element associated with Case-licensing in finite clauses is absent from infinitival clauses. Infinitival subjects are, however, preceded by some prepositional element, and previous accounts have proposed that these are Case-markers, assigning abstract Case to the subjects. However, prepositional elements also occur in controlled infinitival clauses—which have the null subject PRO—yet lexical subjects and PRO are not interchangeable. In this article, it is proposed that the crucial property associated with the Case-licensing of lexical subjects in all Breton clause types is subject agreement. This occurs not only on finite verbs, but also on the prepositional elements in infinitival clauses, which are sometimes complementizers and sometimes AgrSP heads. Clauses containing PRO, however, lack subject agreement, and hence cannot license lexical subjects.