Officials from the EU and IMF are reported to have reached agreement with the Central Bank on the methodology for a new round of bank tests, due to be carried out next month.
All European Banks are due to undergo a stress test next spring, ahead of the start of the new European bank supervision system.
But the Troika has sought a separate bank health check for Ireland before it leaves the bailout programme.
In June it was agreed that Irish banks would undergo an asset quality review, a review of risk-weighted asset calculations, and a balance sheet assessment.
These reviews are to be carried out next month with preliminary results by the end of October and final results in November.
Any corrective measures by the banks would have to be carried out by the end of the year.
According to Reuters, a source with knowledge of the talks said efforts were focused on ensuring that the Irish tests will be as close as possible to the European version.
This would mean the exercise would not have to be repeated in 2014.
This suggests the tests, which will cover State-owned Allied Irish Bank and Permanent TSB and Bank of Ireland, will be robust, since the European round will be the most stringent tests the EU's banks have ever faced.
The Central Bank of Ireland declined to comment on the talks, while neither the EU nor the IMF would comment on the outcome of the talks.
The issue of banking stress tests has been a contentious one between Ireland and its international lenders, with Irish officials initially pushing for no tests ahead of the 2014 Europe-wide round.
The lenders did not think that Ireland, whose sovereign €67bn bailout was triggered by a banking collapse, could exit its rescue programme without a thorough review of its banks.
A compromise was agreed in May which allows for an assessment of Irish banks' balance sheets to be carried out by the end of October, without any stress testing of how the banks would respond to future shocks.
EU-wide stress tests will be carried out in 2014, with the European Central Bank taking a lead role for eurozone countries, which will fall under ECB supervision from October 2014.
