After wins against Moldova and Austria in this month's World Cup qualifying, Wales have moved up five places.
Zambia's gain comes after a fruitful 2018 FIFA World Cup Group B qualifying campaign in September when they recorded back-to-back victories over Algeria who have dropped out of the FIFA top 50 as a effect.
Wales have moved up to 13th in the latest Federation Internationale de Football Association world rankings, two places ahead of England.
Coleman's team are still struggling to make the play-offs right now though as they are the ninth best second place and only the top eight make it!
Meanwhile, India lost 10 places to be ranked No. 107 in the latest Federation Internationale de Football Association rankings that were published on Thursday. However, their last two qualifying matches - against Iran on August 31 and Uzbekistan on September 5 - ended in scoreless draws.
At the top of the pile Germany ousted previous top side Brazil, with Portugal, Argentina and Belgium rounding out the top five.
It is Scotland's highest ranking in three years, since reaching the number 36 spot in 2014.
Iran remain the top-ranked nation in Asia in 25th spot, with Japan at 40 and Korea Republic just behind the Caltex Socceroos at 51.
Nigeria's next opponent in the race to Russian Federation 2018, Zambia rose 18 places up to 78th in the world, after doing the double over Algeria.