Portmarnock is a frontrunner to host both The Open and the AIG Women's Open, according to the R-and-A.
The body's chief executive Mark Darbon revealed that a "detailed feasibility study" is underway to assess the suitability of the North Dublin club to stage the Majors.
Darbon did not give a specific date for any prospective hosting of the events.
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Portmarnock would become the first-ever venue outside the UK to stage The Open.