Kompany feels that The Merseysiders, who also recruited James McCarthy from Wigan Athletic for £13m, may have done the best business during the transfer window.
"Everton made two great signings in Barry and Lukaku," Kompany said on Twitter. "Clever piece of business.
"Arguably the best deals of this transfer window."
However, Everton lost Marouane Fellaini to Manchester United in the final hour.