Everton moved up to fifth in the Premier League as Richarlison's 65th-minute header was enough to secure a 1-0 win over West Brom at The Hawthorns
Mbaye Diagne was denied a dramatic late equaliser in the third minute of stoppage time when his finish was ruled out for offside
The striker saw an early header brilliantly kept out by Jordan Pickford before Dominic Calvert-Lewin went close as Sam Johnstone kept out his shot from close range
But Everton took control in the second period and found the breakthrough when substitute Gylfi Sigurdsson's cross was turned in by Richarlison for his fourth goal in as many games
The visitors' third straight league win moved them temporarily into the Champions League places but Chelsea's 1-0 victory at Liverpool later on Thursday squeezed them out to fifth
 West Brom remain in 19th place after 27 games, nine points adrift of safety
Everton were favourites to take their opportunity, but recent defeats to Newcastle and Fulham served as cautionary tales against sides in and around the battle at the bottom
It has taken time, but West Brom are showing signs of improving under former Everton boss Sam Allardyce and went into the game on a three-game unbeaten run, having kept clean sheets against Burnley and Brighton in their previous two outings
The hosts made a bright start and were denied the opener inside two minutes when Conor Gallagher's cross was met by Diagne, but his header was brilliantly clawed away by Pickford
West Brom had taken just four points from a possible 39 against sides currently in the top half of the table but they continued to impose themselves as Pickford was then forced into action again by Matt Phillips from distance
Half of Everton's eight league defeats heading into the contest had come against teams currently in the bottom seven, but Carlo Ancelotti's side grew into the contest and came close themselves after 38 minutes
A cute pass by Bernard inside to Abdoulaye Doucoure led to Dominic Calvert-Lewin setting up Richarlison for the shot but the ball skipped off Darnell Furlong's boot and flashed onto the roof of the net
An even better chance was to fall to Calvert-Lewin before the interval as another Bernard pass fell kindly for the England striker after deflecting into his path off Ainsley Maitland-Niles but Johnstone kept out his effort from point-blank range
West Brom began the second period in sharp fashion as Matheus Pereira's shot was dealt with by Pickford before another wicked Gallagher cross evaded Diagne at the far post
 Ancelotti had seen enough and swiftly changed formation as Allan brought greater control to his midfield
But it was his second alteration that paid instant dividends just after the hour mark
 Sigurdsson had been on the field for 43 seconds when, with only his fourth touch, his cross was headed in by Richarlison after Diagne had failed to clear the Icelander's initial corner
Sky Sports' Andy Hinchcliffe said: "What a substitution by Carlo Ancelotti, sending on Sigurdsson
 That's what Everton have been crying out for: quality delivery into the box
"Everton nearly doubled their lead when Lucas Digne's cut-back was lashed over by Calvert-Lewin as Allardyce turned to Hal Robson-Kanu and Robert Snodgrass off his bench for the final 10 minutes
Diagne thought he had snatched a point when he collected Maitland-Niles' cross on his chest before tucking his shot inside the post - but the offside flag came to Everton's rescue
West Brom boss : "It is small moments that change the game
 The first few moments with the header and Pickford saves it
 Also what I consider to be a penalty for us for a foul on Diagne in the box
 If we get 1-0 up, it is good for us
 We start well and then slip up for one moment and concede
"We score a great goal at the end and he is two millimetres offside and you realise you are not getting the luck you deserve
 We now need to beat Newcastle on Sunday and get closer to the teams above us
 I can give the lads a lot of credit but unfortunately no points
"We have struggled to score goals from day one and that was the case again tonight
 Everton had one lucky chance for Calvert-Lewin and the goal
 We had more chances but we didn't take them
"We were in the position to get more than one point today
 We haven't even got that today
 We need to correct that now on Sunday
 It will be about mentality
 Grit and determination and the size of your heart
 We need to push through the pain barrier
 We will still be feeling the mental and physical exhaustion of this game
"Everton boss : "I feel really good
 If I look at the table, I'm really happy but there are two problems
 First, I don't know how long it will be and unfortunately the season doesn't end today
 We know that we will have to fight
"At the start of the season, no one could say after 26 games Everton would be there in the top five so this is well deserved from my team as they're working really well
""I talked to the players about following the dream of the Champions League
 Most of these players haven't played one game in the Champions League
 We'll have to fight and we'll need to sacrifice until the end
"There was relief for Carlo Ancelotti and his Everton side at the final whistle
The visitors had been below their best, but they still had found a way of winning for a third straight game, bouncing above their local rivals Liverpool and into fifth spot
It was a familiar source that proved the difference, as was the case against Southampton on Monday
Sky Sports' Andy Hinchcliffe said: "Richarlison has underlined just how important he is to Everton
 He's bang in form, and at times he's pretty much unplayable
"He's got a bit of everything: great skill, pace, strength and is good in the air
 Sigurdsson's ball in was an excellent one but he had to turn it home
""Never in doubt! Keano (Michael Keane) assures me it was offside
 Dominic (Calvert-Lewin) has scored a lot of goals but Richarlison is chipping in now at the right time
 1-0 in the last game and today
"That is six points he has won us in the last two
 It was a tough game
 We knew they would defend deep and well
 We had an idea a set-piece might win it
 With Allan coming on he wanted us on the ball and playing
 He did well and I got the assist
"We are confident after a couple of good results
 But it is tight at the top
 We have to keep going and work hard
 If we get on a run we have a chance
""It wasn't a game full of quality but Gylfi Sigurdsson is a quality player
 He has the ability with his right foot to put the ball into great areas