Sadio Mane and Georginio Wijnaldum netted the crucial strikes as the Reds went down 4-2 on the night following a 5-2 first-leg win at Anfield to set up a showdown with reigning European champions Real Madrid in Kiev on May 26.
Here's how the press reacted after the joint-highest-scoring knockout tie in Champions League history sent Jürgen Klopp's side to the final...
The Times
i
Daily Mail
The Guardian
Daily Express
Metro
Coverage in Spain was split between Liverpool emerging as Real Madrid's opponents in the Champions League final and Atletico Madrid's Europa League semi-final against Arsenal tonight.
But the Spanish press were full of praise for Klopp and what he has achieved with the Reds.
Mundo Deportivo
Hero Klopp
Liverpool will face Madrid in the final despite falling in Rome in another thrilling festival of goals
Klopp has transformed the Reds and eliminated the Los Merengues in 2013
AS
Liverpool meet Madrid in Kiev
Roma fought until the last minute but the English will play their eighth final.