Lautaro Martinez's agent Alberto Yaque said it would be wonderful to see the Inter forward playing alongside Lionel Messi at Barcelona.
Martinez put himself in the headlines with a stunning first-half hat-trick as Argentina routed Mexico 4-0 in the absence of suspended captain Messi on Tuesday.
Yaque confirmed LaLiga champions Barca's interest in Martinez in July and he talked up a potential move to Camp Nou again.
"It'd be wonderful to see him play with Leo Messi at Barcelona," Yaque told TyC Sports, with Inter set to face Barca in the Champions League group stages.
"It's great to see him play like that, so relaxed and happy.
"He has remarkable control in his first touch and that makes it very difficult for defenders to catch him."
Martinez – who was linked with a €112million move to Barca, just one season after joining Inter from Racing Club – scored in the 2-1 Serie A win over Cagliari prior to the international break.
The 22-year-old finished with six league goals last season and nine across all competitions for Inter.
"Lautaro is very humble. When I went to meet him at Bahia Blanca, it wasn't easy to take him with me, as he was very close to his family and felt homesick. Fortunately, his parents trusted me," Yaque said.
"Before going to Inter, I told him he wouldn't struggle to settle in, because I know that whatever Lautaro puts into his head, he achieves. It's no mean feat to waltz into San Siro and play as if it's your backyard."
Antonio Conte's Inter welcome Udinese to San Siro on Saturday, seeking to preserve their perfect start to the season.