The 1st Iberian QCI Quantum Communication Infrastructure Workshop, organized as part of the PTQCI project and included in the Aveiro Tech Week 2024 activities, took place at Teatro Aveirense, in Aveiro, on October 4th, 2024. This event marked the first Iberian meeting where academics, companies, and public entities from Portugal and Spain gathered to discuss the implementation of quantum networks in both countries. A key focus of the discussions was the future interconnection of these quantum networks, aiming to establish a secure and efficient framework between Portugal and Spain. Attendees shared insights and explored technical solutions for this quantum communication infrastructure, with a long-term goal of enhancing security in the exchange of cryptographic keys. Additionally, the workshop explored the broader vision of connecting the quantum networks of both countries to the future European quantum infrastructure. The event was structured into three discussion panels, and three technical sessions, each offering insights from Portuguese, Spanish, and cross-border experts. The final panel focused on the security challenges and the interconnection of national QCIs, including those of Portugal (PTQCI), Spain (EuroQCI Spain), Greece (HellasQCI), and Malta (PRISM). These discussions emphasized the importance of international collaboration in building a secure and integrated quantum communication network between Portugal and Spain, as well as across Europe, which is crucial for advancing the continent's technological and cybersecurity landscape.