The X-Files star reportedly attended the premiere of Morgan's new Netflix series The Crown in New York on Sunday (23Oct16) and editors at the New York Post's Page Six report the two are quietly seeing each other.

"She was telling friends she's dating the writer from The Crown," a source tells the publication.

Representatives have yet to comment on the claims.

Morgan separated from his wife, Austrian journalist Anna Carolina Schwarzenberg, in 2014 after 17 years of marriage and five children, while Anderson, a mother of three, was previously married to Clyde Klotz and Julian Ozanne. Her relationship with businessman Mark Griffiths, with whom she has two sons, ended in 2012.