The meeting with Hector Peris, chief executive of the Leaderbrock agency, took place as Napoli begin preparing for the January transfer window. Varela, who plays for Monza, was the principal subject of their discussions.
The Portuguese forward has emerged as one of the most attractive attacking options in Serie A after establishing himself as the division's leading scorer. Napoli have followed his progress and Manna used the meeting to reiterate the club's interest.
According to Sky Sport Italia, the Neapolitan side would be keen to explore a deal if the right opportunity becomes available when the transfer window opens.
Monza, however, are determined to keep hold of the striker. Chief executive Mauro Baldissoni has made clear that the club want Varela to remain for as long as possible, despite recognising that interest from more ambitious sides could make that difficult.
“We want to have him with us until the end of the season,” Baldissoni told Sky. “We know he is being followed by clubs with great ambitions, but we want to keep him for as long as possible.”
He also played down the prospect of immediate negotiations with Napoli, describing any potential discussions as premature.
Varela was not the only subject covered during Manna's meeting with Peris. Napoli also discussed the future of defender Rafa Marín, whose performances have earned him greater confidence within the club.
The Serie A side have expressed an interest in opening talks over an improved contract, although there is no immediate urgency. Marín's current agreement runs until June 2029.
Alisson Santos was another name discussed, but Napoli's position is considerably firmer. The Brazilian winger is regarded as an important part of the club's plans and is not available for transfer, despite preliminary enquiries from other teams.
Reports have suggested that potential offers could reach €30 million, but Napoli are unwilling to consider his departure at this stage.
Varela remains the most significant transfer issue from the meeting. Napoli have made their interest clear, but Monza's determination to retain their leading scorer means that any January move will depend on whether the clubs can reach an agreement.