Sean Dyche felt Burnley regained their identity after going out of the Europa League with all guns blazing.
The Clarets laid siege to the Olympiakos goal at Turf Moor in the hope of turning around a 1-3 deficit from the first leg in Greece a week ago.
But a host of chances came and went before Daniel Podence and Clarets debutant Matej Vydra swapped goals in the final 10 minutes of a thrilling play-off tie.
However, boss Dyche insisted: “I’m very proud man. I wanted us to get back to what we are about tonight.
“I felt that was missing at the weekend (at Fulham), but I felt it was on show again tonight.
“Before the game I spoke to the players about our identity and I said ‘let’s regain that. Results come and go, but let’s regain what we are’.
“That was important because sometimes you can get lost and we had an awkward result at the weekend, when the performance wasn’t like us.
“We got back to that tonight and it was a very Burnley performance, full of quality, energy and the inner belief to keep going.
“Even at the end we are still chasing it, and can’t believe what’s going on, to be 1-0 down after creating all those chances.
“That’s what we are at Burnley; never say never and relentless in our attitude and the fans were terrific and appreciative of what they saw – and that energy is important now because we’ve got to get back to the Premier League.
“But the players have given them something to be energised about. I thought the manner of the performance, the feel of it, the energy and some of the football we played and chances we created, was terrific.”
Aided by a passionate Turf Moor crowd, the Clarets opened up the Greek side time and time again, but were left feeling frustrated as the chances came and went.
Dyche added: “It’s a strange game sometimes because it’s finished 1-1 but we had every chance of going through, and just couldn’t take our chances on the night.
“But I’m very proud of the way we went about it.
“They were on the back foot from the first whistle and the whole feel of the night was going out to try and turn this tie around. It’s not easy, but we just needed that early goal.
“And within all of that, we mustn’t forget a young man, Dwight McNeil, comes in and makes his full debut in a tournament like this and a game like that and was fantastic.
“He has made big strides over the past six months and he’s got a lot of hard work to do to become what we are as a first team, but he is showing a good account of himself and he and his family should be very proud.”