Napoli are willing to pay Manchester United a considerable amount of money if they accept an invite to play a friendly during the summer.
Italian club president Aurelio De Laurentiis wants his players to get some Champions League practice before they play in the tournament next season.
And De Laurentiis has confirmed he is trying to arrange a fixture with the 2011 Champions League finalists in Naples.
"I have offered Manchester United €1 million to come here and play a friendly against Napoli. I am awaiting a reply," he told the press as the club unveiled new arrival Miguel Britos.
"My aim is to have Napoli among the top teams, not just in Italy, but at international level.
"There is a lot of work to be done."
Napoli finished third in Serie A last season and have qualified for the Champions League group stages.