A 31-year-old man has been arrested in relation to a video that circulated on social media in June appearing to show a group chanting about the murder of Michaela McAreavey.
The man was arrested on Wednesday and has since been released on bail pending further inquiries, police said.
It is understood that three men have volunteered themselves for a police interview in relation to the investigation.
This is the latest development in the fallout from the video. It was apparently filmed in an Orange Hall in greater Belfast and appeared to show several men singing a chant that mocked the death of Ms McAreavey while on her honeymoon in Mauritius in 2011.
The video prompted widespread condemnation across the political sphere in Northern Ireland and beyond.
The 27-year-old Co Tyrone teacher was strangled in her room at Legends Hotel in Mauritius on January 10th, 2011.
Ms McAreavey, who had married her husband, John, 10 days earlier, was attacked after she returned to her room alone and disturbed a burglary.
No one has been convicted of murdering the daughter of GAA football manager Mickey Harte.
[ Michaela McAreavey murder: charge dropped against man arrested in MauritiusOpens in new window ]
The Orange Order, which branded it “abhorrent”, has launched its own investigation into the incident.
In a statement published in June, three men, who have apologised for their involvement, said they would not be confirming or denying who had been interviewed by police, insisting that anyone subject to criminal investigation was entitled to privacy.
The men, who resigned from the Orange Order, reiterated their “complete shame and regret for their involvement in the incident”.
They insisted there was no intent to broadcast the chant on social media and it was “incidentally streamed” on Facebook Live.
“In any event, regardless of whether broadcast or not, the relevant behaviour is not acceptable in any section of our society either in public or private,” said the statement.