REMARKABLY, there was only one winner.
Liverpool, beaten for the first time in the Champions League this season, face Real Madrid after surviving this extraordinary night.
It was seat-of-the-pants stuff in that second half.
Roma won, scoring twice in the final four minutes through Radja Nainggolan, but it was not quite enough to force extra-time.
Instead Liverpool have added another game to their season, on the way to contest the Champions League final in Kiev on May 26.
It will take some explaining.
Real Madrid, kings of Europe, are the last team left for Liverpool to beat in the Champions League.
Five European Cups could become a glorious sixth on May 26.
Liverpool, gung-ho inside Romes bear-pit of a stadium, will fancy their chances of knocking the 12 time winners off their lofty perch.
The Reds are the pride of English football, finding a way to wreak havoc with their captivating, aggressive approach on the continent.
Jurgen Klopp says Liverpool got lucky against Roma for the first time in the Champions League this seasonNobody has found a way to stifle the movement, or to stop the runs of Sadio Mane, Firmino and double player of the year Mo Salah.
Later this month, it will be the turn of Real Madrid captain Sergio Ramos to subdue that front three. Good luck with that.
All that is to come, with the build-up, the fanfare and another lesson in Liverpool history on the way in the run up to the final on the way.
For now, this is about another giddy night in Rome.
Liverpool players hold up a banner dedicated to Sean Cox in the Stadio Olympico after beating Roma to reach Champions League finalLiverpool scored twice in the first half, plenty enough to see them home after their breathtaking performance at Anfield.
Here the spotlight shone on Sadio Mane and Georginio Wijnaldum after they scored twice to put this semi-final beyond reasonable doubt.
Sandwiched in between, Roma pulled a goal back when Dejan Lovrens booted clearance smacked off James Milners head and into Liverpools net.
When Roma took risks after the break, throwing bodies forward in search of an improbable semi-final scoreline, they got another.
Edin Dzeko scored it, lifting his effort beyond Loris Karius to bring Roma level on the night.
Even then, they needed another three just to take this frenzied second leg into to extra-time.
They got two more, with Nainggolan scoring after 86 minutes and then scoring from the penalty spot three minutes into injury time.
Time beat them, with referee Damir Skomina breaking Roma hearts seconds later. Remarkable.
By then Liverpool had scored a couple of away goals, building another lead and sitting on it when they went in for half-time.
They prised the door open nine minutes in when Radja Nainggolans stray pass fell into the path of Firmino.
This little diamond set Mane free, giving him time to breath before sending his effort beyond Romas highly-fancied keeper, Allison.
The celebrations were incredible, with Liverpool players setting off around the pitch with their arms outstretched and planning the celebrations.
It did not last.
Roma came again, peppering Liverpools goal with pot-shots from every angle. Alessandro Florenzi, Nainggolan and Daniel de Rossi all had a go.
Then came the breakthrough when Stephan El Shaarawys header access goal was met by Lovren.
When he tried to put a foot through it, his effort rebounded off Milner and beyond Karius.
Roma started dreaming, with the flags flying his above the ultras stationed in the Stsdio Olimpicos curva sud.
Liverpool caught a second wind, scoring again after 27 minutes when Dzekos attempted clearance from a corner fell to Wijnaldum.
The Dutchman did not hesitate, heading beyond Allison from close range to put Liverpool 7-3 ahead on aggregate.
Even when Roma scored again, dragging themselves level with Liverpool on the night through Dzeko, they were up against it.
Klopps side still had the insurance policy, the mesmerising 5-2 scoreline from the first leg at Anfield to protect them.
For Roma to overcome that, they would have to do something really special in front of their passionate, partisan supporters.
It was too much to ask.
Liverpool, give or take the customary defensive lapses, were exceptional.
There were recriminations from Roma, especially after Trent Alexander-Arnold threw his arms in the way of Patrick Schicks cross inside the penalty area after 64 minutes.
They got lucky with that, but Liverpool had done enough to win this tie several times over by then.
Klopp is creating Kop history, writing his own compelling story after being reminded of their European Cup pedigree at every turn.
Bob Paisley, Joe Fagan and Rafa Benitez have all landed the biggest prize in European club football.
Klopp will join the club if he can upset the Galacticos in Kiev.
Klopp has another shot at this now.
When they get there, Klopp will have to work out a way to stop them going in, but that is for another day.
For now, this is all about another one of their greatest nights.