Midfielder Denis Glushakov flicked the ball over goalkeeper Stefan Marinovic in the 31st minute as New Zealand defenders rushed back to try to clear it off the line. New Zealand's Michael Boxall got a touch on the ball and was credited with an own goal.
His 6-0, 6-2 thrashing of Belgium's David Goffin in the O2 Arena followed Monday's tense three-set win over Dominic Thiem when he became the first Bulgarian to take part in the elite tournament for the top eight players in its 48-year history.
Images from the FIFA 2018 World Cup qualifiers played across the globe on Saturday
European champions Portugal comfortably dispatched New Zealand 4-0 to reach the Confederations Cup semi-finals on Saturday after Cristiano Ronaldo set them on their way with a penalty.