Cooper Bai is being pursued by three clubs.
News Corp says Melbourne, which previously came close to signing him, and Sydney are competing with the PNG Chiefs.
Both NRL clubs need forwards: the Roosters lost prop Spencer Leniu to Parramatta Eels, while the Storm lacked middle-third depth in 2026.
Bai's management told Gold Coast Titans earlier this week that he would not re-sign.
He has impressed in NRL appearances and toured Port Moresby, where the Chiefs reportedly offered him a sizeable three-year deal.
The offer could make him a foundation player; the Chiefs have seven players signed but few major additions to their inaugural forward pack.
Reports say Bai does not want to attend Titans' 2027 pre-season and may join a new club within weeks, though permission is unclear.
The 24-game former Queensland under-19 representative is the son of Marcus Bai, who played 144 matches for the Storm.
Cooper wants a long-term deal, potentially hurting the Chiefs' chances if he remains with the Titans for 2027.