The Tigers exerted all the early pressure at Goodison Park but it was Everton’s Romelu Lukaku who had the first shot on goal in the 15th minute which was saved by Allan McGregor.
Everton began to get a foothold in the match and midway through the first half Gareth Barry set up Lukaku whose mis-hit shot was blocked by Liam Rosenior.
When Hull attacked on the half-hour mark, former Everton striker Nikica Jelavic headed Ahmed Elmohamady’s cross wide.
Everton took the lead four minutes later though when Kevin Mirallas beat Michael Dawson before sending Lukaku free and the Belgian rifled a powerful low shot home.
Hull were fortunate not to fall further behind before half time as Muhamed Besic fired narrowly wide before Phil Jagielka was unable to guide his powerful header from Leighton Baines’ corner towards McGregor’s goal.
However, Steve Bruce’s side were far better in the second half as Everton faded.
When Baines was caught dwelling on the ball, Mohamed Diame’s shot was blocked by Jagielka but, just before the hour mark, Hull equalised when substitute Sone Aluko played a neat one-two with Jelavic before beating Tim Howard from a tight angle.
Everton played in fits and starts but created very little in the second half as Hull held on relatively comfortably for a welcome point.