Liverpool manager Jurgen Klopp accepted their lack of goal threat failed to put enough pressure on Atalanta to help turn their Europa League quarter-final back in their favour.
Mohamed Salah's seventh-minute penalty had raised hopes of a Barcelona 2019-style comeback but the Egypt international missed a relatively straightforward lob to make it 2-0 towards the end of the first half and they faded badly after the break as they exited the competition 3-1 on aggregate.
That meant for only the third time in the 21st century, England have no teams in the semi-finals of the Champions League or Europa League/UEFA Cup.
"We didn't lose the tie tonight, we lost it at home," Klopp said after a 3-0 first-leg defeat proved decisive.
"It's very easy to congratulate Atalanta because they deserved to go through. When you win a tie against us 3-1 in especially this way you deserve it absolutely.
"But I loved our game, especially the start. I loved the commitment, desire and power we developed in this game but it was clear we had better score from time to time otherwise it could be tricky over 90 minutes.
"The second goal could have helped a little bit. We have to create a little bit more than we did in the first half as it's clear you need a result to help destabilise the opponent.
"If you have a second goal it's a tricky one as the next goal is extra time but we didn't get to that point and we will never really know how that would have looked.
"Disappointed we didn't go through but not frustrated or angry. If you don't deserve it, it's all good."
"I won't make a big story of it. I'm not particularly concerned."
Salah has looked well short of his clinical best since returning from almost two months out with a hamstring problem.
Even though he has scored six in 11 game since he came back two of those have been penalties and he is squandering more chances he would normally be expected to take.
"I'm not particularly concerned. That's what strikers do. That's how it it is. We have to go through it, he has to go through it," added Klopp.
"He is one of most experienced players in the squad. That's pretty much all.
"It's not that Mo didn't miss chances before in his life, that's part of the game. The penalty was super convincing, a super penalty then the next chance that was unlucky, but it's not the first time has has missed chances like that.
"I won't make a big story of it. I'm not particularly concerned."
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