The home side have discovered a new steel under coach Javier Clemente and stretched their unbeaten run in the league to five games after they more than held their own in a hard-fought clash with few chances.
The best opportunity of the first half fell to Valladolid defender Nivaldo Batista who unmarked headed wide from close range.
There were plenty of fouls and errors, and David Cortes was dismissed shortly before the hour mark for a second yellow card.
Valladolid could have won the match with a powerful strike from Pele which came back off the post.
The goalless draw is a result of little use for either side as it leaves Getafe a point off sixth place and Valladolid deep in trouble.
A late injury time header from Mario Bermejo saw bottom side Xerez beat Almeria 2-1 but they are still five points from safety. Emiliano Armenteros put Xerez ahead with Fernando Soriano equalising before Bermejo's late show.
Later Saturday, Barcelona cannot afford a hangover from their Champions League exit as they face a difficult away trip to Villarreal.
Barça go into the final four games of the season with a one-point advantage over their bitter rivals Real Madrid, but their morale is at low ebb after the team went out to Inter Milan in the Champions League semi-finals on Wednesday.
Barça coach Pep Guardiola has tried to take the pressure off his players by saying the match will not decide the title.
"We will find out who wins the league in the penultimate or last match. Villarreal are a good side that always cause us problems and our defeat in Europe has not helped us but I have faith in my players," he said.
Real coach Manuel Pellegrini agreed that there will be plenty of points still to play for even after this weekend.
"The team which is leading obviously has more chances of winning the league but from now on all the games are going to be difficult as teams are fighting for European places or against relegation," he said.
"The key now is to keep playing at a high level in the games left."
Third-placed Valencia have a tough away match at Espanyol but the real fight is taking place below them for the final Champions League position.
Last weekend Mallorca could only draw at home to Malaga while Sevilla crashed away at Getafe.
Source: AFP Global Edition