Victory, which came from a last minute penalty from Xavi Simons, wasn't enough for Spurs as Atletico reached the Champions League quarterfinals 7-5 on aggregate.
Tudor said afterwards: "It's nice, the sensation and feeling are mixed, of course.
"We are out, but as you said, it was a sensation of one very good team on the pitch, one very good performance of the players, the energy, as you said before, was very nice. From the first moment, the fans recognised that the team will try to do everything they can do, so from the first moment until the last moment, they were with us, it was beautiful. Thanks."
Asked about individual performances, Tudor was happy to highlight several of his players.
He also said: "He's a guy, you know the positions he plays everywhere, so probably this position in the middle is, I believe, the best one for him. But he's playing continually in the right way, in a good way. It's a mix of quality, physically and mentally, to always make the right choices and be humble and have legs to do so. He needs to continue this, he's still young, so every day he needs a new confirmation (of what he can do).
"Together with Pape (Sarr), I see them very well, there's a quality between these two players. The last two games, they really made a difference. But also, I think Xavi (Simons) was very good, happy for him, showed the talent, it was not easy to play there in the middle, where it's always difficult, in the front, Mathys (Tel) also, did good things.
"(Randal) Kolo (Muani) as well, behind, so it was a sensation that even we can make it, when it was a foul on Xavi, the referee didn't give us the foul, that little bit changed the game. But as I said before, we take a good direction as a team and we need to continue."