“I understand that they were much better than us but we could give nothing more. We did not play as we wished to but we have to keep our heads up and prepare for next season,” Simeone told a news conference.
“We struggled to win the battles on the pitch and they were much faster than us, they made more fouls than us and were very good at stopping us from playing, but we gave everything we had.”
Atletico struggled to cope with Leipzig’s intensity, falling behind to Dani Olmo’s header before Joao Felix levelled from the penalty spot.
Tyler Adams then struck the winner with a late deflected strike just as Atletico were starting to find their composure.
The Argentine coach said his side had run out of steam at the end of a gruelling season lasting over 12 months due to the long pause in action because of the COVID-19 pandemic.
He also reflected on a challenging La Liga campaign after parting with the likes of forward Antoine Griezmann and defender Diego Godin and a difficult run of results.
His side needed a strong final push to clinch third spot after spending large parts of the season outside the top four.
“It has been a very long year, with the huge pressure of trying to get into the Champions League and then having many weeks stuck at home,” he added.
“We are feeling hurt because we have had a season with so much pressure, with so many injuries, with so many uncertainties due to all the new players we brought in.
“We could have done better today and we wanted to go further in this competition but emotionally, in terms of preparation and the enthusiasm we had, I don’t have anything to complain about.”