The Whites played host to their bitter rivals for a clash in which neither side could ultimately find a breakthrough.
For Leeds, however, it means that they have taken five points from a possible nine against Manchester City, Liverpool, and United in their last three matches.
Sunday’s result also left them ninth in the table with just five games left to play.
Marcelo Bielsa was left extremely pleased with his side’s efforts too.
Speaking after the game, he said: "It was a very demanding game for us.
"For the game not to become unbalanced the team made a massive effort. This effort allowed the game not to become unbalanced. I insist I value a lot everything we did so the game didn't become unbalanced.
"What was moving was the effort the team made. A game like today, if we didn't bring this big energy we wouldn't be able to balance it.
"It's true as the game grew the spaces opened up and there was more clarity for us to go and think we could attack.
"But I think the draw was a sufficient reward given how the game went."
Leeds’ next match will be against Brighton on Saturday afternoon, with the Seagulls losing to Sheffield United last time out.
We’ve gathered the best of today’s Premier League speculation involving Leeds United and the rest of their Premier League rivals below...
7. Berge expected to stay
In a surprise admission, Paul Heckingbottom has insisted he expects Sander Berge to remain a Sheffield United player next season despite attracting interest from some of the Premier League’s leading clubs. (Sheffield Star ) (Photo by OLI SCARFF/POOL/AFP via Getty Images) Photo: OLI SCARFF
8. Leeds give up on Alioski
Leeds United have given up hope of keeping hold of Ezgjan Alioski after he rejected a new contract. (Football Insider) (Photo by Jon Super - Pool/Getty Images) Photo: Pool
9. United linked with Heaton
Manchester United will look to Burnley stopper Tom Heaton as a potential goalkeeping option this summer. (The Sun) (Photo by Jan Kruger/Getty Images) Photo: Jan Kruger