The 20-year-old forward, who joined Benfica from Bahia for a bargain €4 million in the summer, has impressed his Brazil teammates in training and was even dubbed by Oscar to be as good as Rivaldo.
At the weekend, the Mirror reported Louis van Gaal had sent 'his top European scout in Portugal' to watch Talisca in Benfica's Champions League clash with Monaco, a game where the Brazilian scored a vital late winner.
It was his ninth goal in his last 10 games and United are believed to have joined a queue which already contains the likes of their Premier League rivals and Real Madrid.
Last week, Talisca was called up to the Brazil national first-team squad by Dunga for the first time, following Lucas Moura's injury. It was the first chance many of the more established players in the squad had got to see the talented youngster play and judging by the comments made by Fernandinho and Oscar he impressed.
"I was impressed," Fernandinho told Globoesportes, as quoted on A Bola. "I didn't know him and hadn't seen him play in Brazil.
"I saw him in some games with Benfica, he is training with the team well and mingling with the group. He has great charisma, perhaps because he is from the north east.
"He has a great future ahead of him, I'm sure if he makes his debut next Tuesday, he will do well."
Equally as impressed, Oscar added: "Talisca can be equal to Rivaldo and plays very well. I have not followed him much at Benfica, but he has good quality. We're glad he's here."
In his current form, it is highly likely that Talisca will get the chance to make his international bow on Tuesday evening for Brazil when they travel to Austria.
Brazil won emphatically on Wednesday night, beating Turkey 4-0, and Dunga will be hopeful that his team can provide another performance of similar style. It's a perfect opportunity to unleash the 20-year-old on to the international stage and see what he can do.