The Cherries are back in the big time after winning a do or die Championship match against Steve Cooper's men.
Moore prodded home from close range after 12 minutes to secure a 1-0 win in Tallinn.
Page said the draw with Switzerland 'felt like a win'. A passive point might not look so good later on...
Kieffer Moore scored Wales' first goal of the tournament as they picked up a draw against Switzerland.