Regarding the Republic's case, Blatter added that Costa Rica, who also believe they were unfairly denied a place in the finals - this time because of an offside goal from Uruguay - would also have to be acknowledged if extra places are discussed.
The Football Association of Ireland released a statement, confirming Blatter had agreed to a meeting in Zurich last Friday, which lasted for 90 minutes.
"A lot was discussed at the meeting and at one stage the FAI asked if Ireland could be accommodated into the World Cup 2010," read the statement.
"Other suggestions were also made to mitigate against further occurrences of such incidents, including the use of additional goal-line assistant referees for Fifa international matches, further use of video technology for matches at the highest level, stronger provisions to discourage players from engaging in such blatant breaches of the laws of the game and provisions to strengthen referee selection for such important matches."
The Republic originally asked for the play-off to be replayed but that request was turned down by Fifa.
The man at the centre of the storm, former Arsenal striker Henry, released a statement two days after the infamous match in which he said a replay would have been "the fairest solution".
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.