Burnley’s winless run stretched to nine Premier League games as they drew 0-0 with Everton in a tight contest at Turf Moor.
The Clarets had the best chance of Saturday’s game in the 57th minute, with Jacob Bruun Larsen firing over when he went through one-on-one with Jordan Pickford.
Everton had what appeared to be a strong claim for a penalty waved away late on after Tyler Dibling's strike hit Jaidon Anthony's arm.
Zian Flemming might have made Burnley’s good fortune count, only to hit the inside of the post in the 90th minute. He was flagged for offside, but replays suggested he may have been onside.
Burnley remain in 19th, six points from safety, while Everton, who were shorn of their most influential attacking players, have dropped to 11th.
How the match unfolded
Dibling, on just his second league start for Everton, created the best two chances of a tepid first half, with Beto failing to get on the end of one cross and Carlos Alcaraz heading at Martin Dubravka from another.
Marcus Edwards dallied when presented with a chance to shoot early in the second half, but he should have had an assist when he lobbed through for Bruun Larsen, who got his finish all wrong with just Pickford to beat.
Beto thought he had given his side the lead five minutes later, but his close-range back heel was brilliantly parried away by Dubravka.
Bashir Humphreys dragged wide as Burnley put their foot to the floor, though Everton substitute Thierno Barry drew a smart save from Dubravka a minute later.
Everton’s penalty appeals when Dibling’s attempt struck Anthony’s arm were dismissed, with referee Craig Pawson's decision upheld after a VAR review.
Flemming then looked set to win it for the hosts, but his attempt hit the right-hand post and trickled out. The offside flag went up, yet it looked as if it would have been a marginal call.
Burnley show their mettle, but lack cutting edge
After salvaging a point against AFC Bournemouth last week, Parker spoke about wanting Turf Moor to become a difficult place for away teams to visit. He also called on the support of the home faithful.
Parker will have no doubt eyed this fixture, against a depleted Everton, as a chance for his team to end their long wait for a top-flight win.
However, while they created numerous promising openings, the Clarets lacked the quality required to capitalise on them.
Burnley received the backing that Parker had asked the fans for, but at crucial moments, his team were missing that cutting edge, though there were bright signs defensively.
Lesley Ugochukwu showed what was to come as he made an excellent challenge in the first half to deny Beto from giving Everton the lead in the first half.
Dubravka played his part, with his saves to deny Beto and Barry standing out.
Parker’s side are at home again on Tuesday as they host Newcastle United before travelling to Brighton & Hove Albion in the New Year. They may have shown promise, but only wins will be enough to keep them up this season.
Dibling excites for depleted Toffees
In his pre-match press conference, David Moyes discussed key players missing today’s contest due to injuries and the Africa Cup of Nations, with Jarrad Branthwaite, Kiernan Dewsbury-Hall, Idrissa Gueye and Iliman Ndiaye all unavailable.
However, Everton suffered another blow as Jack Grealish missed out due to illness. It meant that the Toffees’ first-choice attacking midfield trio were all absent.
That gave Dibling a chance to show what he can do. His only other league start since his switch from Southampton came against Crystal Palace in October.
The 19-year-old provided a much-needed spark in the first half with his cross from the right wing flying fractionally past Beto. Dibling then hit the side-netting with a driven attempt before his hooked cross from the byline was headed by Alcaraz into the hands of a relieved Dubravka.
Dibling may well have made a decisive input had the officials deemed Anthony’s handball worthy of a spot-kick, too.
Everton dropped into the bottom half but did at least snap a losing run after defeats to Chelsea and Arsenal, but Moyes needs his better players back soon. Next they face Nottingham Forest, managed by former Toffees boss Sean Dyche, and Dibling will hope to get another chance to show what he can do.
Club reports
Burnley report | Everton report
What the managers said
David Moyes: "You wouldn't want to watch too much of that, certainly from our point of view. Burnley might have different thoughts but from our point of view it wasn't a good performance. We have been playing quite well recently but today wasn't one of our best.
"It's a difficult time. Lots of games and different things going on, but I was disappointed that we didn't play better, because we can do a lot better than we played. We go away with a point and a clean sheet so there are some positives to take from it."
Scott Parker: "I thought we were well worthy of the three points. We came here understanding what we needed to be and we were every bit of that. The fine margins of what the Premier League is, we didn't put our chances away when we had some real good chances.
"We're frustrated because we were very, very close today to getting the three points and we've not managed to do that. It's a clean sheet, a point and a good performance and that's what encourages me."
Next PL fixtures
Key facts
Since the start of the 2021/22 Premier League season, Everton have won just two of their 15 away matches against newly promoted opposition (D8 L5), failing to score in three of their last four such fixtures.
Everton have been involved in 112 goalless draws in the Premier League, more than any other club in the competition’s history.
Walker made his 427th Premier League appearance, moving above Gareth Southgate as the English defender with the fifth-most games played in the competition’s history. Only Jamie Carragher (508), Rio Ferdinand (504), Sol Campbell (503) and John Terry (492) are ahead of him in that list.
In the first half of this match, Burnley and Everton combined for just one shot on target, with only Tottenham Hotspur (19) this season attempting fewer first-half shots on target in the Premier League than the Clarets (21) and the Toffees (22), though Spurs have played a game fewer than both sides.