A game that was never likely to match the excitement of Wednesday's (AEST) seven-goal thriller between Manchester City and Real Madrid finally came to life in the second half as an own goal from Pervis Estupinan and a Sadio Mane strike sealed a strong first-leg advantage for the Reds.
Unai Emery's side defended resolutely for much of the game, managing to get to half-time goalless, but they were ultimately undone by some typically fast attacking from Jurgen Klopp's team in the second half.
This was Liverpool's 12th European Cup or Champions League semi-final, with no English side playing in the final four more often (level with Manchester United), and was also the first time the Reds have played in the semi-finals of the Carabao Cup, FA Cup and European Cup in the same campaign, and it was that experience of the big occasion that ultimately shone through.
It was a tentative start from the home side, though Mane will have expected to do better with a header when found by a neat cross from Mohamed Salah early on with the Senegalese forward directing his effort wide.
Thiago Alcantara came as close as anyone to breaking the deadlock in the first half with a shot from almost 30 yards that crashed against the left-hand post, but the visitors did a good job of frustrating the Premier League side in the opening 45 minutes.
An electric beginning to the second half from Klopp's side finally saw them take the lead in the 53rd minute, with Jordan Henderson's cross from the right taking a fortunate deflection off the foot of Estupinan and flying past Rulli at his near post.
Another arrived just two minutes later as a good passing move ended with Salah sliding a ball through to Mane, who prodded under the goalkeeper to make it 2-0 to the Reds.
The Yellow Submarine avoided further damage but have it all to do when the two meet again in the second leg at the El Madrigal next Tuesday.