Key Moments
Manchester United's poor recent struggles persisted at Leeds' fortress, but manager the Portuguese tactician had his Brazilian forward to thank for his side avoiding even more disappointment against their old rivals.
The Everton loanee directed a first-half attempt against the post for the in-form hosts before Brenden Aaronson finished superbly with a low, 62nd-minute effort.
With the goal, Amorim was in the firing line after his side had been held by bottom-of-the-table Wolves at home earlier in the week.
However, against opponents who had two days less to recover, the forward restored parity three minutes later when he latched onto a pass from substitute Joshua Zirkzee and slid a shot underneath advancing home goalkeeper Lucas Perri.
It was only the South American's fourth goal since his big-money summer move and came at a time when the manager is without several key attacking players due to a mix of fitness issues and national team commitments.
Not that you would expect the hosts to sympathise with that given their own lack of preparation time.
Noah Okafor forced a full length save out of Manchester United goalkeeper Senne Lammens with a spectacular overhead kick, and visiting heads were in hands when Benjamin Sesko, who is struggling to make an impression, turned his teammate's cut-back wide from close range.
Cunha, who had a goal disallowed for offside much earlier in the contest, also blasted against a post in the dying moments.
The point extends Leeds' unbeaten run to seven games, their best such streak since 2001, and takes them a significant margin clear of the drop zone.
For the Manchester United though, it was yet another opportunity to move into the Champions League places, albeit only for a short time, wasted.
With the AFCON reaching its knockout phase, the United coach could be understood for hoping the participating nations make a swift exit.
Current injuries to captain Bruno Fernandes and England international Mason Mount only heightened the impact the absence of other forwards is having on Amorim's squad.
It's not that the missing pair are the solution to all of the club's problems. After all, they were part of the side that experienced disappointing results earlier in the campaign.
But without them, Amorim has few attacking options.
He evidently does not trust youngster Shea Lacey or the much more experienced Joshua Zirkzee, even though the Dutch forward delivered the through ball for the equaliser almost immediately after his arrival as a substitute.
That leaves the Brazilian, who has now scored three goals in five games, and others playing out of their natural positions, alongside Sesko.
On this evidence, the expensive frontman looks no better than previous underwhelming signings, lacking in confidence and conviction in front of goal.
Sesko's failure to turn home the cross means it is now a long run without a goal for the young striker.
After memorable victories in their last few home games, the arrival of their biggest rivals to Elland Road was a bit drab affair.
True, there were instances of typical fervor, but the hostile edge was not as evident as in previous encounters.
Leeds' fans were more concerned about their side's struggle to get sustained possession in dangerous areas for any prolonged period.
The striker's header that struck the post was an rare moment of threat in a tight first half.
It still felt as though the hosts were struggling when a mistake opened the door for the opener.
Ever so briefly, The home ecstatic fans thought they were about to secure a coveted win against their old foes.
Nevertheless, there is a much bigger picture for Daniel Farke and Leeds to deal with.
When they endured a poor run of form earlier in the season, many speculated about the manager's position.
In contrast, he is now overseeing clear progress.
The job is not done yet but step by step, the team are getting closer to securing their survival.
The Yorkshire club have a Premier League trip to Newcastle in midweek, followed by the start of their domestic cup campaign next weekend. The Red Devils face a league trip to Turf Moor before also entering their cup journey with a Old Trafford tie.