Amone was arrested and charged on Thursday with reckless grievous bodily harm, destroying or damaging property and stalking/intimidating with intent to cause fear, following an incident in the suburb of Warrawong on November 15.
He did not seek bail, which was formally refused, and will front court in Wollongong on Friday.
St George Ilawarra has reported the matter to the NRL's integrity unit.
"Dragons player Talatau Amone has been charged in relation to an alleged incident earlier this year," the club said in a statement.
"The club has notified the NRL integrity unit. As this is a legal matter the club will be making no further comment."
A NSW Police statement alleges that two tradesmen working at a neighbouring property last month were confronted by three men armed with hammers.
Police say one of the men was pursued onto and then pushed off a roof, falling two metres and sustaining injuries to his wrists, arms and hip.
A 46-year-old man was arrested at the scene, while police circulated images of a third unidentified man on Thursday.
Amone, who was part of Tonga's recent Rugby League World Cup campaign, made his NRL debut in 2021 and recently re-signed with the Dragons until the end of 2024.
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