The Taoiseach has confirmed there has been contact between the Department of Foreign Affairs and the United Arab Emirates regarding Daniel Kinahan.
Leo Varadkar said he was rather "taken aback" to see heavyweight boxer Tyson Fury in his video just dropping "that name that you mentioned as if this was somebody who did not have quite a chequered history in this State and elsewhere".
He said: "While I can't comment on any particular garda operation, I can certainly assure you that there has been contact between the Department of Foreign Affairs and the authorities in the United Arab Emirates about that matter."
The Taoiseach was responding to Labour Leader Alan Kelly, who said: "Taoiseach our country has to intervene here, we have to through the Department of Foreign Affairs intervene with the UAE in relation to this individual. We owe it to the victims of such a cartel."
Mr Kelly pointed out that a High Court judge had made a defining statement in relation to Mr Kinahan, who lives in the Middle East.
He said: "There is an individual from our country, who has according to the High Court, is a very senior figure in organised crime on a global scale and according to CAB has controlled and managed operations of the Kinahan organised crime group for some time.
"He has now rebranded himself in the Middle East as a boxing promoter and one of the most famous individuals involved in that has described him as a smart, able and honest man."
Two years ago, the High Court named the Dublin man as a senior figure in organised crime and found the criminal gang he "controlled and managed" was involved in drugs trafficking and firearms offences on an international scale.
Mr Kelly is the second member of the Dáil to call on the Government to take action.
This evening, Junior Sport Minister Brendan Griffin told the Dáil he was "absolutely appalled to see what has surfaced in relation to boxing".
He has asked his department to draft letters to his counterpart in the UK and the broadcasters Sky and BT to express outrage at the situation, which he said was "completely unacceptable".
Minister for Sport Shane Ross said: "The work done on the ground in boxing was absolutely unparalleled and it was absolutely wrong if their name was sullied by activities that are completely unacceptable."
Fine Gael Dublin TD Neale Richmond said last night that Mr Kinahan's bid to reinvent himself as a boxing promoter cannot be allowed to succeed.
He said he was calling "on our Tánaiste and Minister for Foreign Affairs Simon Coveney to make a direct appeal to the authorities in Dubai to hold Kinahan to account for his real activities".
Sky Sports, BT Sports and the Department of Justice have declined to comment.
Additional reporting Paul Reynolds and David Murphy