The Communications Minister Denis Naughten is to meet Facebook management in New York today, after it was revealed harmful content was left up on the site.
A Channel 4 investigation found staff were instructed not to remove content from the social media platform, even when it violated the company's guidelines.
Extreme content, including assaults on children and images of self harm, all remained on the site.
Speaking from New York, Minister Naughten said: "I am aware of the contents of the Channel 4 programme and I am deeply concerned.
"The programme which was broadcast raises serious questions for the company in respect of the manner in which it handles reports of harmful or illegal content carried on its platform; the internal procedures it has in place to moderate harmful or illegal content on its platform; and the systems the company has in place to report instances of abuse, suspected abuse or other illegal activity to the appropriate authorities, including An Garda Síochána."
"Clearly Facebook has failed to meet the standards the public rightly expects of it."
While Taoiseach Leo Varadkar said fines on social media companies for allowing indecent content to stay online need to be significant to have any effect.
"These are companies that make a lot of monies from advertising so the fine would have to be commensurate so that it would cause a change in behaviour.
"There's no point in having fines that could be easily absorbed - they would have to be large enough that it would hit the profits of a company and cause them to change their behaviour and conduct".