The accusations came from De Laurentiis after revealing that his side had made an offer for Roma goalkeeper Alisson, who would eventually leave the Italian capital in a £67 million ($87m) world-record switch to Anfield in July.
De Laurentiis subsequently questioned whether the two clubs had shared the same owner, as both are currently controlled by Americans; Pallotta overseeing Roma and John W Henry's Fenway Sports Group controlling the Premier League side.
The Napoli chief went as far to invite UEFA to investigate their collaboration, saying: "I've always suspected that the real owner of Liverpool is also that of Rome. A little bird whispered it in my ear a few years ago.
"And if that is true, with a shared ownership they could not both compete in the Champions League."
Roma boss Pallotta moved quickly to shut down De Laurentiis' comment's however, with the official Roma Twitter account quoting the American billionaire asking what the Napoli chairman was smoking.
Pallotta: ‘What do you think @ADeLaurentiis is smoking over there in Naples? If he finds that little bird again, he’ll find out we also own Barca and Bayern’— AS Roma English (@ASRomaEN) August 17, 2018
"What do you think De Laurentiis is smoking over there in Naples? If he finds that little bird again, he’ll find out we also own Barca and Bayern."
The two will eventually come together on October 28 at Stadio San Paolo as they plot their Scudetto challenges against current champions Juventus.