Arkadiusz Milik scored with his first touch as a substitute to send Juventus through to the Coppa Italia final.
Juve had seen their 2-0 lead over Lazio from the first leg wiped out by a double from Valentin Castellanos.
But Poland striker Milik found the net seconds after climbing off the bench as Juve were beaten 2-1 on the night but progressed 3-2 on aggregate.
Juve will face either Fiorentina or Atalanta in the final next month.
The visitors were first on the attack and Filip Kostic’s blocked shot ricocheted to the feet of Andrea Cambiaso, whose low drive flew inches wide.
But it was Lazio who took the lead on the night, and halved the deficit on aggregate, after 12 minutes.
Luis Alberto swung in a corner and Castellanos got up above Alex Sandro at the far post and buried his header past Mattia Perin.
The two goalscorers from the first leg, Dusan Vlahovic and Federico Chiesa, almost combined to equalise.
Chiesa teed up Vlahovic to prod home from close range but his effort was saved by Christos Mandas.
Juve midfielder Manuel Locatelli was dealt a personal blow when he was booked for a foul on Nicolo Casale which means he will miss the final.
Castellanos should have levelled the tie two minutes before half-time when he found himself one-on-one with Perin.
But the Juve keeper came out quickly and was able to make a fine save to preserve the lead.
However, the Argentinian made no mistake three minutes into the second half after he was played in by Luis Alberto.
Castellanos used his strength to burst between two defenders before tucking his finish past Perin.
Vlahovic was denied a goal by a stunning piece of last-ditch defending by Adam Marusic, who slid in to block as the striker looked certain to tap in Weston McKennie’s pull-back.
But Massimiliano Allegri’s substitutions had an immediate effect after Timothy Weah’s cross-shot was tapped in at the far post by Milic with seven minutes to go to send the 14-time winners through.
Postecoglou: Spurs have a confidence problem to overcome
Ange Postecoglou says that Tottenham need to "overcome" their low confidence after suffering a 4-2 defeat to Liverpool on Sunday.
Spurs slipped to their fourth consecutive Premier League defeat, being left to bemoan their slow start as they found themselves 4-0 down by the hour mark thanks to goals from Mohamed Salah, Andrew Robertson, Cody Gakpo and Harvey Elliott.
Richarlison came off the bench to salvage some pride for Spurs, scoring one before setting up Son Heung-min for a goal on his 300th Premier League appearance.
Spurs had the opportunity to cut the gap to the top four after Aston Villa’s defeat to Brighton, but they remain seven points off a Champions League spot.
Postecoglou’s side still have a game in hand over the Villans, though he was sure that Spurs would be able to put their recent poor run behind them.
Asked if Spurs had a confidence problem, Postecoglou told Sky Sports: "Maybe in the front third there is.
"It probably is a bit of a lack of confidence, but again, that's something the guys have to work through.
"You have to find a way to overcome that because, ultimately, if you don't put pressure on the opposition in the front third after you've worked your way up there, they're going to get comfortable with their position."
Spurs have won just one of their last nine Premier League away games, failing to win any of the last five.
Despite that run extending at Anfield, Postecoglou highlighted what he thought was an improvement on their recent performances.
He continued: "Obviously a hugely disappointing outcome for us but at least we were more like ourselves today in terms of our football.
"Our last two away games at Newcastle and Chelsea, apart from the results which weren't great either, we just didn't try and play our football.
"I thought today, even in the first half, some of our football, our pressing was back to where it should be."
Roma 1-1 Juventus: Juve miss chance to close gap to second after draw with Roma
Juventus were held to a 1-1 draw at Roma on Sunday, missing the chance to close in on Milan in second place in Serie A.
Roma took the lead after 15 minutes when Romelu Lukaku found himself in the perfect position to tap in the rebound from a Bryan Cristante shot.
Bremer levelled with a header for Juventus just after the half-hour mark when Federico Chiesa picked him out inside the box from a corner.
Both sides had chances to find a winner in the final minutes, with Roma keeper Mile Svilar making a fingertip save to push Manuel Locatelli's volley over the bar.
Third-placed Juventus have 66 points, five fewer than Milan, who drew 3-3 with Genoa earlier on Sunday. Roma are fifth with 60 points.
Data Debrief: Leading from the back
Since scoring his first Serie A goal in the 2019-20 season, Bremer is the defender with the most headed goals in the Big-5 European leagues, netting 13 in total. Each of his last seven goals have been headers.
His goal was enough to earn Juventus a point today, but it means that they have drawn each of their last four in the competition - a first since February-March 2012 under Antonio Conte.
Chelsea 8-0 Bristol City: Blues rout hands Hayes perfect home send off
Guro Reiten starred as Chelsea thrashed already-relegated Bristol City 8-0 to keep their title hopes alive in the Women's Super League on Sunday.
The Norwegian scored four goals, netting the opener from the penalty spot to get Emma Hayes' last home game in charge off to the best start.
She scored the other three in the second half in just over 20 minutes, while teeing up Agnes Beever-Jones for the seventh goal with just two minutes left.
Beever-Jones got two, with Sjoeke Nusken and Niamh Charles also adding to the scoreline to eradicate the goal-difference advantage that Manchester City, who lost to Arsenal earlier on Sunday, had over them.
Chelsea move to within three points of the Citizens, with a game in hand over them, remaining in the fight to lift their fifth-consecutive league title.
Data Debrief:
Chelsea have scored eight goals in a game for the first time since December 2022 against Leicester City, a match they also won 8-0.
The Blues have scored in their last six games in the WSL, though it does not come close to their longest run of games with a goal in the competition - a run of 20 from April 2023 to February 2024.
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