Since its foundation in the 1980's, Construction Grammar has been crossing the traditionally imposed borders. From superimposed levels of analysis to the lexicon-grammar continuum, the constructionist approach to language has been built by, quoting Charles Fillmore, "e;the insistence on seeing specific grammatical patterns as serving given semantic (and often pragmatic) purposes, and in the effort to construct a uniform theory capable of presenting both the simplest and most general aspects of language and the large world of complex grammatical structures"e;. In this volume, five chapters derived from the plenary talks at the 9th International Conference on Construction Grammar provide a sample of the bridges the insistence and effort of construction grammarians have built in the past three decades with other analytical models - namely Cognitive Grammar and Collostructional Analysis -, perspectives - Diachronic Construction Grammar - and applications - Language Pedagogy and Natural Language Understanding.Originally published as special issue of Constructions and Frames 12:1 (2020).