It has been criticised by the Child Exploitation and Online Protection (Ceop) centre for not installing "panic buttons" on every page.
Ceop's director Jim Gamble said the matter was urgent after the murder of a teenager by a man she met on the site.
Facebook has said it takes the issue seriously and welcomed the meeting.
It said it would announce any changes to its plans following the meeting.
'Urgency'
It had previously said it would not install a "panic button" on its main pages for users to report suspected paedophiles, but would develop its existing system.
The company said it would install links to organisations including Ceop on its reporting pages but Mr Gamble said he could not understand why Facebook would not agree to adopt the button on every page as it was a free way to "help save some children".
"If you're going to operate a business that encourages people to frequent your public place so that you can advertise to them, then let's look after them while they're there."
Last week Mr Gamble announced the agency had received 252 complaints about Facebook during the first three months of the year - with 40% of them about the potential "grooming" of children.
Mr Gamble said the issue was an urgent one, especially after the murder of 17-year-old student Ashleigh Hall in County Durham last October by Peter Chapman, a man she met via the site.
Last month Chapman, 33, was jailed for at least 35 years for the killing.
http://news.bbc.co.uk/2/hi/uk_news/8614787.stm
Gee. And here I thought PARENTS are supposed to be the ones to make sure their children are safe and kept from harm. Silly me. I never knew facebook took over the role of parenting.
Parents should be investigated if their children end up in this situation.