The Blues have finally captured the 21-year-old Wigan attacker after a summer-long pursuit of the player, with the Latics accepting a bid believed to be in the region of £10m
The Latics are believed to have accepted a bid in the region of £9 million for the Nigerian international, with Roberto Di Matteo showing no let-up in spending during the current transfer window.
The Blues also confirmed the signing of Marseille full-back Cesar Azpilicueta earlier on Friday, and he joins Eden Hazard, Oscar, Marko Marin and Thorgan Hazard amongst this summer's new recruits at Stamford Bridge.
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Moses was snapped up by Wigan in January 2010 after he had established himself in the Championship with Crystal Palace.