Hull's run of defeats came to an end as an equaliser from substitute Sone Aluko secured them a 1-1 draw at Everton.
The Toffees appeared very much in control at half-time of the Barclays Premier League contest, going in a goal up thanks to Romelu Lukaku's 34th-minute strike from a Kevin Mirallas cut-back.
But Hull battled back after the break and were level in the 59th minute when Aluko, only just introduced to the action, got past Sylvain Distin and put a nice finish past Tim Howard at his near post.
The Tigers' ex-Everton frontman Nikica Jelavic headed just wide moments later, and the visitors then hung on doggedly for a draw that takes them out of the relegation zone, which they had slipped into on Tuesday night.
Steve Bruce's men are only up a place from 18th to 17th and are clear of the drop zone on goal difference alone, but they will surely take a considerable boost from getting this point on the board after losing their previous four games.
Meanwhile, Roberto Martinez's Everton, having failed to really spark, stay 11th, with the gap between them and fourth place now cut by one to seven points.
The Toffes departed the field to boos from some supporters, who have now seen their team win only three of their last 10 home league matches.