Atlético remain a point clear of the Catalans with six games to go in La Liga, but it was their Champions League quarter-final clash that occupied the minds of both coaches as the sides meet at the Vicente Calderon for the second leg after a 1-1 draw at the Camp Nou .
Martino admitted Barca hadn't matched their standards of late as two goals from Lionel Messi and Jordi Figueras own goal was enough to see them past bottom of the table Betis 3-1.
"I expected that the game wouldn't have the same level of play as the other day against Atlético. took a lot out of us. I saw a bit of the Atletico game and the same happened to them," he said.
"Today, as an exception, we value the result above everything. It wasn't due to concentration or underestimating the opponent, Betis played very well. At some points our work rate dropped a bit because we were lacking a bit physically."
"I hope that we will be better than today. I don't want to make excuses, but between and appears the Betis game and it is normal that this happens."
"Normally the result isn't so favourable and this time it is, so we value it a lot as it allows us to continue putting pressure on the leaders."
It was a similar story for Atlético as Raul Garcia's early header was enough to squeeze out a third straight 1-0 home league win.
"Today was a difficult game. We played better in the first-half, but we didn't find space in between the lines like we wanted and scored through a set-piece," said Simeone.
"In the second-half Villarreal were superior in terms of possession. They didn't have many chances at goal, but we also couldn't create anything on the counter-attack. It is a very important victory that we will value a lot.
"We were tired towards the end and that is normal. The strength and energy that we have had at other times we didn't have today, but the team played with their head and when you play intelligently it can supplement that lack of energy.
"Now we need to think about the game in the Champions League, it is important for the club. It will be a great match. Hopefully we can recover in these four days."
It was a much more comfortable evening for Real Madrid boss Carlo Ancelotti as despite being without Cristiano Ronaldo his side cruised to a 4-0 win away to Real Sociedad to remain three points off the top.
Real were also in Champions League action in midweek as they beat Borussia Dortmund 3-0, but, in stark contrast to Atlético and Barca, they got stronger as the game went on as Gareth Bale, Pepe and Alvaro Morata scored in the final 25 minutes after Asier Illarramendi had opened the scoring just before half-time.
"It is not easy to recover after a game like and in that aspect the intensity of the players in the second-half was very good," said Ancelotti.
"We have the desire to fight until the last game. Despite the fact we are behind in the table, we will fight until the end."