Chelsea failed to significantly cut the gap at the top of the Premier League as they were held to a goalless draw by Bournemouth at the Vitality Stadium.
Defeat for leaders Arsenal earlier on Saturday had given Enzo Maresca's team the chance to pull to within six points against a Bournemouth side who had been in free-fall after four losses in five, but despite a spirited second-half showing they were left to rue the lack of a decisive final ball to cut through the hosts.
They had been fortunate not to fall behind to an onslaught from the Cherries late in the first half, Robert Sanchez frustrating Andoni Iraola's team with an inspired showing.
The days when Chelsea's goalkeeper was their weak link appear long in the past and the visitors ultimately owed their point to a man of the match display from the Spaniard, who produced a glittering showreel of saves.
A wonderful individual display by Xavi Simons inspired Tottenham to a first Premier League home win since August with a much-needed 2-0 victory over Brentford.
Pressure had started to mount on Thomas Frank after a succession of tepid home displays and a run of three defeats in four matches, but for the visit of his old club he recalled Xavi to great effect.
It took Xavi only 25 minutes to set up Richarlison's opener before the £52million playmaker got off the mark in his 19th appearance with a fine solo goal in the 43rd minute to clinch Spurs only a fourth home win in the league in 2025.
Frank embraced Brentford boss Keith Andrews before kick-off and multiple members of the visitors' backroom staff, but it was quickly down to business, with Xavi given his first start since 8 November.
Spurs should have made it 3-0 early in the second half but Caoimhín Kelleher saved from Djed Spence after he burst clear in the area.
Mohammed Kudus let fly next and Xavi could only fire straight at Brentford's goalkeeper after a poor clearance.
However, Tottenham's skilful winger Kudus got a telling-off with 19 minutes left when his showboating gifted the visitors a throw and Romero slide in to deny Thiago before the home captain lambasted his team-mate, but it mattered little as Frank's men finally won again at home.
Thierno Barry ended his long wait for his first goal as Everton moved to within a point of the top four with a 3-0 victory over Nottingham Forest.
David Moyes came out on top in the battle with his Toffees predecessor Sean Dyche as his faith in the young striker was finally rewarded.
This was the 22-year-old's 17th appearance since his £27m move from Villarreal and his sixth successive start since his manager decided to put his trust in the Frenchman rather than the more experienced Beto.
Neither forward had offered him much in the way of a threat - with just one league goal between them - and for 45 minutes Barry's contribution was negligible.
He comfortably lost the physical battle with Nikola Milenkovic, whose own goal after just 82 seconds had put the visitors on the back foot, and twice was left rolling around on the floor after bouncing off the Serbian centre-back.
But teed up by Iliman Ndiaye in an added time counter-attack Barry, with surprising confidence, produced a first-time finish of which watching former Everton striker Gary Lineker would have been proud.
The outpouring of joy from the player, his team-mates and majority of Hill Dickinson Stadium showed how much all parties had been willing the moment to happen.
Kiernan Dewsbury-Hall netted Everton's third.
A fourth win in a five games lifted Everton into the European shake-up, already a remarkable achievement from Moyes managing a team whose strikers have struggled to score and which was down to its last pair of senior midfielders due to a couple of suspensions and an injury.
Bruno Guimaraes and Anthony Gordon scored for the second time in five days as Newcastle eased to a 2-1 victory over 10-man Burnley at St James' Park.
Guimaraes found the back of the net direct from a corner and Gordon converted a penalty in first-half stoppage time, minutes after Lucas Pires had been sent off for bringing down Anthony Elanga, on an afternoon when anything that cold go wrong for the struggling visitors, who responded with a last-gasp penalty from substitute Zian Flemming, did.
The victory was exactly what the Magpies, who belatedly handed a debut to #55million summer signing Yoane Wissa as a late substitute, needed ahead of Wednesday's Champions League trip to Bayer Leverkusen and next weekend's derby at Sunderland, although it came courtesy of a patchy performance in front of a crowd of 52,041.