The All Whites will square off against a top-10 ranked Peru in next month's home-and-away intercontinental World Cup play-off.
England and the Republic of Ireland have risen in this month's FIFA's world rankings, while Scotland climbed too despite missing out on World Cup qualification.
Among the Asian Football Confederation countries, India are at 14th spot.
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The next edition of FIFA's ranking list is due to be published on November 23, 2017.
South Korea, however, managed to avoid their worst position ever. The eight best second-placed teams (Slovakia missed out despite finishing runners-up to England in Group F) will battle for the four remaining qualifying spots.
England, who qualified for the 2018 World Cup in Russian Federation with wins over Slovenia and Lithuania, climbed three places to 12th in the rankings led by World Cup holders Germany, football's world governing body announced on Monday.
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Federation Internationale de Football Association uses its October World Ranking to decide all four seeding pots, despite nine places in the 32-team World Cup line-up still to be decided in November.
The current frontrunners in FIFA's top-ten rankings are reigning World Champions Germany (1,631 points), followed by Brazil (1,619), Portugal (1,446), Argentina (1,445), Belgium (1,333), Poland (1,323), France (1,226), Spain (1,218), Chile (1,173) and Peru (1,160).
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