Although the social networking site initially began face-matching users outside Canada seven years ago, it was stopped for EU citizens in 2012 after protests from privacy campaigners and regulators.
As reported by the BBC, the new request is one of a number of opt-in permissions being looked into ahead of a new data privacy law.
Silkie Carlo, director of UK civil liberties group Big Brother Watch, said: "Biometric identification and tracking across the billions of photos on the platform exacerbates serious privacy risks to users.
"Facebook now has a duty to prove it has learned how to respect the law, not to prove it can take its surveillance capabilities to new depths."
The latest news comes as Facebook is set to face a class action lawsuit over its use of facial recognition.
On Monday (16.04.18), US District Judge James Donato ruled to certify a class of Facebook users, which is a key legal hurdle for a class action suit.
According to the court order, the class of people in question is Facebook users "in Illinois for whom Facebook created and stored a face template after June 7, 2011".
If the lawsuit is successful, any person in that group could be entitled to compensation, depending on the outcome.
In the company's help pages, it states: "If you've never been tagged in a photo on Facebook or have untagged yourself in all photos of you on Facebook, then we do not have this summary information for you."
The feature is not available for users in many countries, including the UK, and can be turned off in the settings for US users.