In a difficult week for the Colombian, whose parents were kidnapped and father remains unreturned, Diaz showed up when Jurgen Klopp needed him the most.
Former Manchester United man Tahith Chong gave Luton the lead in the 80th minute after a scintillating counter-attack.
However Diaz was there at the pack post to head home Harvey Elliott's wicked cross in the 95th minute, and he revealed a message on his shirt that read 'Libertad Para Papa' – freedom for father.
Here, Mail Sport's Adrian Kajumba takes you through some of the stories from Kenilworth Road that you may have missed on Sunday.
Luis Diaz rises highest to head home Liverpool's equaliser in their 1-1 draw with Luton Town
Diaz revealed a message that read 'Libertad Para Papa', meaning freedom for father after he scored
Luton celebrate their excellent counter-attacking goal, giving them the lead against Liverpool
Shoot on sight Nunez
After rescuing a bad first touch by scoring a screamer with his next against Bournemouth in midweek Darwin Nunez seemed to be on a mission to pull off a repeat at Luton.
He had three similar attempts in the first half at Luton but did not get close to replicating his Carabao Cup winner.
They were three of six first-half efforts from Liverpool's No.9 who seemed to be operating a shoot on sight policy.
He also hit the bar and had two headed attempts. There were three more attempts in the second half including one blocked at close range and his horror miss from just underneath the bar.
The flag went up against Mo Salah though replays showed he was actually onside.
When all is said and done that should see this performance go down as one that included nine shots from Nunez, equalling a record number from one player in a Premier League game this season.
Darwin Nunez missed an open goal for Liverpool after Mo Salah's misdirected header fell perfectly into his stride only for the Uruguayan to smash over the bar
Uruguay striker Nunez looked dejected after missing a huge chance to put his side in the lead
Luton 'didn't go and drastically buy superstars' as former defender Curtis Davies rightly pointed out while on punditry duty.
But he might well have noted the impressive performance put in by one of their under-the-radar additions Teden Mengi playing his old postion.
He arrived for an undisclosed fee from Manchester United and seemed to relish trying to thwart Liverpool's superstars.
The recovery pace he showed to chase down Ibrahima Konate when he embarked on a surging run from defence and perfectly-timed tackle was his best moment.
Former Manchester United youth player Teden Mengi has impressed at the back for Luton
Mengi rises above Virgil van Dijk, however Luton still failed to keep a clean sheet this season
Luton denied shut-out at the death
Mengi was far from alone in catching the eye for Luton. Wingbacks Issa Kabore and Alfie Doughty put in huge shifts too and goalkeeper Thomas Kapinski kept out nearly everything Liverpool threw at him.
They all looked to have contributed to finally earning Rob Edwards' side a first clean sheet of the season at the 13th attempt. Then Luiz Diaz struck in injury time. Horribly unlucky for Luton.
Klopp's dressing room comparison
Luton might well be used to hearing various descriptions from people unfamiliar with their unique ground.
But there was perhaps a new one from Jurgen Klopp about the away changing room. 'The pitch is good. I love these kind of grounds. The dressing room is like camping in Mount Everest. We're here to fight for everything.'
Jurgen Klopp embraces Luis Diaz after the Colombian rose above a difficult week and saved a point for Liverpool
It has been another tough weekend for the officials so referee Andrew Madley might have welcomed the help of Virgi Van Dijk.
When his teammates threatened to take their appeals for a first-half freekick too far Van Dijk was quick on the scene as captain to tell them to leave the referee alone.
In other disciplinary matters, a fifth booking of the season for Alexis Mac Allister will see him banned for Brentford's visit next week.
Klopp was shown a yellow by referee Andy Madley after he reportedly confronted assistant referee Nick Hopton
Madley was given a helping hand by van Dijk after his teammates threatened to take their appeals for a first-half freekick too far
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