The Defence Minister and Minister for Foreign Affairs are being briefed by the United Nations today on the latest developments which will then be outlined to Cabinet tomorrow.
it is believed Ireland may not replace its 133 person rapid response force in the Golan Heights.
44 peacekeepers from Fiji are being held by militants in the area on the Syrian-Israeli border for the last three days, while the United Nations attempts to negotiate their release.
The Irish contingent are the most heavily armed element of the 1,200 strong multinational UN mission. It recently helped in the rescue of a group of Filipino peacekeepers who were also taken hostage.
The members of the United Nations peacekeeping force - UNDOF - were captured in the Golan Heights region by an armed group.
The troops were detained during fighting between Syrian rebels and government forces.
Members of the 44th Irish Infantry Group are currently stationed in Golan Heights, with members of the 46th set to take over next month.
The Defence Minister Simon Coveney has moved to reassure the families of the 130 Irish troops serving in Syria that the troops are not in any immediate danger.
Speaking to Ocean FM at Sligo IT, Mr Kenny said the situation is being monitored.
While speaking to the Pat Kenny Show here on Newstalk, Mr Coveney said the UN must review the mandate of the mission if Ireland is to remain part of it.