The effective implantation of the circular economy (CE) presents a great challenge to the industrial sectors, mostly in those of greater environmental impact, such as construction industry. In Brazil, this industry has been growing over the last 20 years; however, such growth was based on an extractivist economy without any consideration to the end of its products lifespan. Only in 2017, 45 million tonnes of construction and demolition waste were generated in the country. This paper presents the current context of public policies in the Brazilian construction industry and proposes initiatives to introduce principles of CE. An exploratory study was developed, and all the 45 references presented in Appendix A of the review paper of Benachio et al. were considered to draw new ideas. These ideas are related and compared to key points in Brazilian regulations. Twelve opportunities for the improvement are listed and organized by construction stages (planning and design, materials manufacturing, construction processes, use and demolition). The ones related to design and planning using Green building information modelling, and materials manufacturing with recycled waste are highlighted due to the existing actions, standards, and Federal legislation. It was found that some sectors and the government already have actions related to CE (based on the 3R principle), but still there are several initiatives needed for its effective implementation in the Brazilian construction industry.