The agent represents both brothers and watched them make history for Italy alongside fellow Castellammare di Stabia product Gianluigi Donnarumma, with all three starting against Turkey.
Their appearance together has put the spotlight on a city that has produced an unusual concentration of Italian international footballers.
For Giuffredi, however, the story is about more than geography.
The agent described the Esposito brothers as “old-school” young men who remain closely connected to their family, their grandparents, their uncles and their home city.
“They have the principles of the old days,” Giuffredi said. “They are very close to their grandparents, their uncles and naturally to Castellammare di Stabia.”
Sebastiano's journey, in particular, is one that Giuffredi believes illustrates how easily young talent can be overlooked.
The forward, now at Sassuolo, had a difficult period before his career began to move forward again. Giuffredi recalled that when he took the player on, there was little interest in him, even from clubs in Serie B.
“I fought a sporting battle for him,” the agent said. “When I took him, nobody wanted him, not even in Serie B.”
Giuffredi said he had always believed in Sebastiano's ability and was struck by how long it took for the wider football world to recognise his qualities.
That delayed recognition is central to the point he wants Italian football to consider.
“I am struck that the football world understood his value late,” he said. “I have always believed in him.”
For Giuffredi, the Esposito story should encourage clubs to pay greater attention to young players outside the traditional centres of Italian football.
“The talent of our young players must not be wasted,” he said. “It is an immense resource. I am referring to the province of Naples and not only there.”
Castellammare's contribution to the latest Italy squad made the point particularly striking.
Donnarumma, Sebastiano Esposito and Francesco Pio Esposito all began their football journeys with strong connections to the city. Their paths subsequently took them elsewhere, but the city remained an important part of their development.
Giuffredi also pointed to Antonio Vergara, another player from the Naples area who was involved with the national team.
“It is not a coincidence that Castellammare had three starters in the national team,” he said.
The Esposito brothers have followed different routes through professional football, but their progress has now brought them together on one of the biggest stages.
Sebastiano has rebuilt his career after a period in which his potential was questioned, while Pio has emerged as one of the younger forwards attracting increasing attention.
Their shared appearance for Italy offered another significant moment.
It also gave Giuffredi an opportunity to return to the beginning of the story and underline the importance of giving young players opportunities before their potential becomes obvious to everyone.
For him, Sebastiano's career is evidence that talent can survive an uncertain period if a player continues to receive belief and support.
The two brothers remain closely connected to Castellammare, where their early football education helped establish the foundations for professional careers that have now taken them to the Italy squad.
Their progress, together with Donnarumma's, has given the city an unusual presence in the national team.
And for Giuffredi, the lesson extends well beyond three players.
Italy's next generation of talent is not confined to its biggest academies. Sometimes, he argues, it is waiting to be recognised much closer to home.