In an ordinary way, in Portuguese traditional grammars, the concessive conjunctions are exposed on a list without any observation about their conditions of use and their semantic aspects, as if they could be used in an interchangeable manner. This makes difficult the teaching of Portuguese, especially as second language. There are constructions that are intrinsic to the native speakers of the language, so they need to be well detailed so that the non-native speaker achieve a relevant level of linguistic competence. For this propose, we based ourselves on the functionalist perspective of language, which understands that the grammatical choices depend on the context where the phrases are placed. Our goal is to verify the morphosyntatic structures where the concessive sentences appear and to observe the different secondary senses that each concessive conjunction can have in a sentence. Then, we will do a work that will facilitate the teaching of concessive conjunctions, aiming the learning of non-native speakers of Portuguese.