In a statement, the FAI said it was "shocked and appalled to learn of disturbing allegations of abuse brought forward by women in involved in Irish football in the 1990s."
The FAI said it had met with some of the women to listen to and acknowledge their experiences, while also offering support.
Read more: Female players say 'our eyes have been opened' in new statement
It said it has contacted An Garda Síochána and Tusla about the cases, in accordance with mandatory reporting requirements and its own safeguarding and child welfare regulations.
"The Association acknowledges the enormous courage of the women in coming forward and making their concerns known and would encourage anyone involved in Irish football to report any concern that may arise," it said.
"The Association believes unequivocally that everyone involved in Irish football should at all times feel that they are in a safe environment and that appropriate safeguarding and reporting processes are in place and operating effectively."
The Professional Footballers Association of Ireland (PFAI) has been providing support to the women over the last six months.
The FAI has asked that anyone who experienced harm or abuse from Irish football to contact an independent contractor it has hired to take statements from complainants.
FÁS was dissolved after a series of controversies on corporate governance. It was replaced by Solas in 2013.
Although the course was funded by a State organisation, Solas told the joint investigation that it "does not hold any records" from the FÁS course, or any related safeguarding policies.
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