Manchester United were left a huge 14 points behind Premier League leaders Manchester City as Crystal Palace held them to yet another goalless draw on Wednesday.

The stalemate at a foggy Selhurst Park was United's third successive goalless draw in all competitions ahead of Sunday's Manchester derby against City, who are on a record-breaking 21-game winning streak.

Elsewhere, third-placed Leicester had captain Kasper Schmeichel to thank for a point in a 1-1 draw at Burnley.

Perfect 10 men: Phil Jagielka's (centre) red card did not cost Sheffield United
Perfect 10 men: Phil Jagielka's (centre) red card did not cost Sheffield United POOL / Tim Goode

Aston Villa missed the chance to move to within two points of the top four as they suffered a shock 1-0 loss to bottom-of-the-table Sheffield United, who held on for the final half an hour with 10 men.

A point in south London left second-placed Man United just one ahead of Leicester, with the main aim now for Ole Gunnar Solskjaer's side to cling on to a top-four place that will secure Champions League football next season.

"We have to do much better, we have to risk more in attack to create more chances," United midfielder Nemanja Matic, who almost broke the deadlock with a deflected shot, told Sky Sports.

Foxes lose their bite: Leicester have failed to win in their last three games
Foxes lose their bite: Leicester have failed to win in their last three games POOL / Alex Pantling

"We are Manchester United, we have to win this kind of game. On Sunday we have a big game against Manchester City. We have to refocus for that."

Leicester's challenge for a return to the Champions League next season has been badly hit by injuries to key players, with Chelsea, Liverpool and Everton all able to close in on the Foxes -- who have not won in their last three games -- when they are in action on Thursday.

Matej Vydra smashed home his first league goal in nearly 12 months to give Burnley the lead after just four minutes.

Frustration in the fog - Solskjaer (2R) shakes hands with the referee and his assistants after a goalless draw away to Crystal Palace
Manchester United head coach Solskjaer shakes hands with a referee. POOL / Adrian DENNIS

However, Kelechi Iheanacho's splendid volley drew Leicester level in the 34th minute.

Schmeichel then produced two fine saves to deny Chris Wood early in the second half, parrying the New Zealander's powerful header before getting down low to his right to turn a shot wide.

Ashley Westwood then rattled the post for Burnley, but Leicester finished the stronger.

Leicester manager Brendan Rodgers lauded Schmeichel, saying: "He's been brilliant for me in my time here, there's moments where it looks like it's going to be a goal and he pulls off a save."

Sheffield United secured just their fourth league win of the season as David McGoldrick scored the only goal against a Villa side desperately missing the inspiration of injured captain Jack Grealish.

Although the Blades had Phil Jagielka sent off for denying a clear goalscoring opportunity when hacking down Anwar El Ghazi, ninth-placed Villa failed to make their advantage count.

The Blades are still 12 points from safety despite this win but manager Chris Wilder said: "Any result in this division is a huge result for Sheffield United.

"Obviously it was made a little more difficult going down to 10 men, but we showed good character -- as I've spoken about all season regarding my team."