Elijah Adebayo scored on his return to the starting XI to earn the Hatters a point against Everton at Kenilworth Road.
The striker finished brilliantly to cancel out Dominic Calvert-Lewin's penalty, which was awarded after Teden Mengi was adjudged to have fouled Jarrad Branthwaite in the box.
Adebayo, on his first start since mid-February, took a raking pass from Sambi Lokonga on his chest, got the better of Ashley Young and fired a slick finish beyond England goalkeeper Jordan Pickford on 31 minutes.
After the break the Town were dominant, winning a string of set-pieces but could not force the ball home.
The Toffees, who secured their safety last weekend, almost re-took the lead midway through the second half only for Thomas Kaminski to produce a stunning save to turn Calvert-Lewin's close-range header over the crossbar.
But the Hatters continued to push in the frantic closing stages, and were unlucky not to grab a late winner from one of a number of chances in the dying minutes.
Substitute Luke Berry twice went close - the first with a glancing header that Pickford saved before the midfielder's acrobatic shot was cleared off the line with Pickford beaten.
Then, in the final act, in the 98th minute, Andros Townsend's low first-time shot seemed destined for the bottom corner only for Branthwaite to divert the ball to safety.
The point keeps the Town in the relegation zone with two games to play, level on points with Nottingham Forest who travel to Sheffield United on Saturday.
For the Hatters, who were applauded off the end of the pitch by their supporters who created an raucous atmosphere all evening, head to West Ham next Saturday.
We'll soon you there.
Town: Kaminski; Onyedinma (sub Woodrow 70), Doughty; Burke, Mengi, Osho; Lokonga, Barkley; Chong, Morris, Adebayo (sub Townsend 80).
Subs not used: Shea, Krul, Berry, Mpanzu, Clark, Hashioka, Johnson.
Attendance: 11,873 including 1,257 in the away end.
