This article documents an evolutionary pathway from parataxis via the correlative construction to finite subordination in the Ugric languages. The first step of the emergence of finite subordination is the appearance of a paratactic precorrelative sentence pair, with an indefinite pronoun in the first sentence that is anaphorically resumed in the second sentence. This pattern, witnessed in the SOV Ob-Ugric languages, developed into a full-fledged correlative construction in Hungarian by the end of the twelfth century. In Hungarian, drifting to head-initial grammar, the correlative construction is shown to have been both the source of the evolution of finite relative clauses and the source of the grammaticalization of finite complement clauses. The path to finite relativization involved the reversal of clause order and the reanalysis of the relative clause as an adjunct of its main-clause correlate. Finite complementation evolved in the context of say-verbs by the integration of their paratactic propositional complement with the use of the correlative pattern of subordination. The relative pronoun was recategorized as a complementizer. The complement clause, first construed as an adjunct of the main clause, later came to be subordinated to the VP, eliciting verbal agreement when functioning as an object. The developmental path pointed out in the Ugric languages bears on theoretical debates concerning the status of parataxis and of nonfinite and finite subordination in the synchrony and diachrony of human language, and provides typological parallels for the interpretation of controversial data from the early history of Indo-European languages.