Such adventure, combined with West Brom's pace on the counter-attack, ensured a lively afternoon for Everton keeper Tim Howard, who acrobatically palmed over a Brunt free-kick and somehow managed to get a hand to a close-range header from Odemwingie.
But the pace of the Bluebirds counter-attack was showcased when Andy Keogh, in for suspended talisman Jay Bothroyd, quickly broke to set-up their first clear sight of goal.