Martinez was purring about the performance of his two goal striker Samuel Eto'o and said after the game: "Everyone will speak about Samuel's goals and his finishes but as a manager I was more pleased with his all-round contribution.
"His link-up play was exceptional and his defensive work very disciplined. For someone who is at this experienced part of his career, to play 90 minutes on Thursday and today shows how he looks after himself.
“He is an incredible professional to have in a young group and dressing room. I was extremely proud of his performance.”
Looking at the performance overall, he added: “It was interesting week for us and a terrific challenge. We had to face a difficult team at home in Aston Villa and then we had an important game in Lille in the Europa League.
“Coming here today, I knew it would be a really tough game. Burnley have been unfortunate this season that they haven’t got more points because their efforts deserved it.
“They played with energy and pressed us high up to stop us playing, but I thought we were very professional. We controlled the game and defended well, apart from the goal we gave away.
“Going forward we picked the right moments and we showed our quality in front of goal. I thought our performance was perfect to set up our season now."
After the game, Dyche said he and his group of players were still relishing the challenge of trying to win points in the Premier League and felt there were some positives to be had from the game.
He said: “We had some decent chances again, but the moments of truth come in the clinical finishing that Samuel Eto’o and Lukaku bring you. They are high quality players who come at a cost and we have to find a way the team can operate to score more goals, because we can’t always find that individual moment of brilliance.
“We’re showing good signs, but the signs have to turn quickly into the reality of winning games. It’s in the margins and it’s hard when you are playing against that quality of player and they are a very good side. I know they have had an indifferent start, but they are a very, very good side.
“I didn’t think we played as well in the second half as the first, but we were still breaking their play up and playing on the front foot, but the third was a fantastic bit of quality and the game gets tough.”
He had some good news about Dean Marney after the game, confirming that he should be fit to return at Arsenal and explained his decision to bring in Stephen Ward at left back.
“Ben was nothing more than the fine balance of making a decision to alter the feel of the group," he said. "There’s a number I could make at the minute because obviously we are still trying to find that way to win games. The margins are tight and we will make changes accordingly as we see fit.”
Dyche added: “I think the fans have been fantastic. They have come to be very reality-bound here. They know it’s a challenge every week and we are in a very different situation now. The fans appreciate the journey and it’s still going and long may that continue.
“It gives the players a more relaxed platform to work from, rather than questioning everything and we need that to continue for more. The challenge continues and it’s a task that we want.
“Sometimes it is head scratching, not that we think we are naïve enough to think we are playing well and deserving to win games. That doesn’t just happen because you have to score goals and stop them. But we are not a million miles away and I know that is hard for some to understand, perhaps not so much for people who watch us a lot.
“Phil Jagielka, who I know a little bit, told me he thought we were terrific in the first half. I said we’ve had that a few times this season, but we have to play for 90 minutes and we have to find that cutting edge. It’s as simple as that.
“But we work in a positive environment and we believe in these players. I think people saw today an honest group again giving their lot, but equally, when you are playing like that you have to expect them to raise their game, and we’re talking about a team full of international footballers who have been signed for multi-millions of pounds.”
“The challenge is what it is, but we’ll work hard this week and get ourselves ready for the next one. As I say, everyone involved with the club wanted this challenge and they still do. That’s why the fans still come and cheer on their team.
“They want the challenge of Premier League football for Burnley Football Club and so do the players and I.”