In October 2024, Galoppo revealed that he had rejected a transfer to Boca Juniors, publicly demanding more playing time at São Paulo.

Boca Juniors has made a firm offer to acquire Giuliano Galoppo, aiming to position him as a key signing for the next season. The Argentine midfielder, who is currently under contract with São Paulo, has received a concrete offer of more than 3 million dollars for 50% of his transfer rights. This marks Boca's second attempt to secure his services, following an unsuccessful effort earlier this year. Juan Román Riquelme is leading the negotiations to finalize the deal, as he is convinced that Galoppo can become a fundamental piece for Fernando Gago's team. The main obstacle remains the midfielder's salary, which Boca needs to adjust in order to convince the player and his entourage. Galoppo is taking a few days to evaluate the offers, with a resolution expected before 2025.

Galoppo confirmed he had been contacted by Boca Juniors during the Copa América period. Although he was flattered by the interest from such a prominent South American team, he expressed his desire to remain at São Paulo. He mentioned that he had received proposals from Boca Juniors as well as other clubs, both local and international, but he prioritized staying at São Paulo. Galoppo emphasized that as a professional, it is necessary for him to listen to what clubs have to say, but he has consistently expressed his willingness to stay at São Paulo.

Galoppo had the opportunity to leave São Paulo after an offer from Boca Juniors. Despite the proposal, he decided to remain at São Paulo, citing his identification with the club and the country. He expressed a desire to stay and prove himself at São Paulo, even though he acknowledged the proposal and the interest from Boca Juniors and other clubs both locally and internationally.