New Zealand captain Jesse Bromwich and fellow forward Kevin Proctor were stood down by their respective clubs on Sunday after local media reported they had been involved in purchasing and consuming cocaine in Canberra early on Saturday.
Meanwhile Proctor announced he had stood down as Gold Coast Titans captain in a statement on the team's website.
New Zealand coach David Kidwell previously stated they would be looking to make a stance on the incident. In our own domestic game here we do drug education and we try and work with our rugby league community and try to promote making better decisions.
He has already stepped down from playing duties for the Titans, as well as the captaincy.
The club said they had advised Proctor on Sunday that he would be issued with a breach notice giving him five business days notice to appear before the Titans' board to determine other actions or sanctions.
Kiwis captain Bromwich and back-rower Proctor allegedly joined Canberra man Adrian Mark Crowther in Canberra's city centre.
"I'm pretty gutted", Kidwell said.
"I've made the decision, with the backing of the NZRL, that Jesse Bromwich and Kevin Proctor will not be considered for the upcoming World Cup campaign", said Kiwis coach David Kidwell.
He also said there would be a review of the team's rules whilst in camp for the World Cup - to be held across Australia, New Zealand and Papua New Guinea - including a possible curfew.
ACT police said on Monday it was too early to say if charges would be laid, after the pair were allegedly filmed on CCTV cameras snorting a white substance.
"Although I can't remember exactly what happened, I don't deny it", Proctor said in his statement.
The 28-year-old has been suspended for two games by club side Melbourne Storm and ordered to undergo counselling and treatment courses.
Police alleged the video showed Crowther offer the phone to two men, both of whom allegedly inhaled it through rolled bank notes.
Cronulla chief executive Lyall Gorman said on Saturday that Keogh was "very distressed and disappointed".