And it was Rangers who got their noses in front when Davis pounced upon Charlie Mulgrew's defensive header, drove at the Celtic defence and guided a low left-foot shot into the net via the post in the 24th minute.
The Azzurri pressed hard for three points in a pulsating second half, but the All Whites stood firm and could have snatched a remarkable victory had 18-year-old West Brom forward Chris Wood not guided a late left-foot shot just wide of the post.