FAI president Paul Cooke insists the Republic of Ireland would play Israel if they were pitted against them in any UEFA-mandated competitions.
Cooke and FAI CEO David Courell faced the media after Saturday's FAI AGM.
An EGM preceded it, at which the association's General Assembly members voted to submit a motion to UEFA to ban Israel from its European club and international competitions.
Cooke said the FAI had not yet contacted UEFA, but revealed he did reach out to the Israeli FA before the EGM vote took place "out of courtesy and respect".
"Straight off the bat, we would play them, provided it was part of a UEFA competition," Cooke replied when asked what would happen in Ireland drew Israel in future qualifiers.
"We're members of UEFA.
"As anyone who has listened to me knows, we are a members organisation, we have been mandated by our members to take a certain action and will do that."
In September, the Turkish and Norwegian soccer governing bodies made calls for Israel to be suspended from international competition.
Their requests came after United Nations experts appealed to FIFA and UEFA to suspend Israel from international football, citing a UN Commission of Inquiry report that said Israel had committed genocide during the war in Gaza. Israel has denied committing genocide and described the report as scandalous.
Asked if the FAI planned to talk to Turkey and/or Norway, Courell said: "Each federation is absolutely entitled to adopt whatever position they see fit. I know that Turkey, Norway have made their position clear as we have over recent months as well. Now we're formalising it with UEFA, we'll see what comes next.
"As Paul (Cooke) mentioned we are a members-led organistaion and we're acting on the behest of our members' posiiton. I think every football federation should recognise that.
"Government have been clear, it's a matter for each sporting body to consider, they have not been involved in any of the conversations."
Bohemians chief operating officer Daniel Lambert, who proposed the motion, said he had requested that the FAI now asks the UEFA executive committee to take action against Israel.
The proposal for the vote cited two alleged violations of UEFA statutes by the Israel Football Association (IFA): organising clubs in occupied Palestinian territories without the consent of the Palestinian FA; and the alleged failure of the IFA to enforce an effective anti-racism policy.
"It flies in the face of logic that one association, in a game governed by rules, can breach UEFA statutes with no measures taken against them, or with no roadmap to take any action," said Lambert.
"I suppose what was done today was the right thing to do, and I think it's great to see that it was such a majority in favour and it's a positive thing for the members of the FAI.
"We've asked the FAI to instruct UEFA EXCO to take action against the Israeli FA under the statutes. They should be excluded from competitions, that's what we're hoping will happen.
"I think a wise and sensible move for the FAI as a next step will be linking in to like-minded associations."