Liverpool missed out on a first Premier League title despite beating Wolves 2-0 at Anfield on Sunday on the final day of the season.
Jurgen Klopp's side moved onto 97 points from 38 games thanks to Sadio Mane's double, but Manchester City's 4-1 win at Brighton and Hove Albion means the Reds' 29-year wait for the top-flight crown goes on.
Hope was kindled among the home fans when news of City going behind arrived shortly after Mane turned home, but once Pep Guardiola's side moved ahead before half-time, Liverpool appeared resigned to their disappointment.
Senegal star Mane got his 22nd of a superb league campaign with nine minutes to go, but celebrations were largely muted in the Merseyside sunshine.
Liverpool dominated the early possession but created little until 17 minutes in, when Mane converted Trent Alexander-Arnold's low cross.
The noise around Anfield suddenly cranked up when news of Brighton's opening goal came through, but the atmosphere was dampened when City overturned their deficit before the break, shortly after Rui Patricio parried a fierce strike from Andrew Robertson.
Wolves were beginning to show some endeavour, too, and only the crossbar denied them a leveller before half-time when Matt Doherty beat Alisson with a fine first-time strike.
Divock Origi - the hero against Barcelona this week - missed a good chance on the turn, but Wolves continued to threaten against a tired-looking Liverpool side and Jota was denied by Alisson after a clever dummy from Raul Jimenez.
Mane moved joint-top of the goal-scoring standings - alongside team-mate Mohamed Salah and Arsenal's Pierre-Emerick Aubameyang - with a clever header from Alexander-Arnold's cross, although he should have been flagged for offside, before Virgil van Dijk hit the crossbar late on as Liverpool finished an outstanding season with a flourish.