According to a report from Gazzetta, the two Premier League clubs are interested in the 19-year-old Romanian defender, and are keen to sign him in the summer.
The talented defender wants to continue his development with the Italian giants, yet he is still waiting for Juventus to propose a development path that suits him before signing a new contract.
Dragusin's financial demands are reportedly not being met, despite Juventus viewing him as part of their plans for the future.
His contract with Juventus ends in June, and the Italian club is determined to convince him to sign an extension as soon as possible.
However, he is very highly rated by several clubs in Europe, with Newcastle and Palace seeing him as a potential target that could lead to more progress in the future, with both squads having relatively old defenders that are nearing the decline.
Newcastle and Palace have both had their struggles defensively this season, conceding 40 and 42 Premier League goals this season respectively, the second and third worst defensive records in the league.
RB Leipzig are also interested in Dragusin, seeing him as the long-term replacement for Dayot Upamecano, who will move to Bayern Munich at the end of the season.
Dragusin could be a great signing for either Newcastle or Palace, with both of the clubs desperate for reinforcements at the back, with Steve Bruce and Roy Hodgson both finding it hard to implement their game plans this season, not having the right defenders to do so.
Dragusin has made four appearances in all competitions for Juventus this season, even playing two full games in the Coppa Italia against Genoa and SPAL, keeping a clean sheet against SPAL whilst playing at right-back.