Harry Kane's first-half header saw Tottenham end a difficult week with a 1-0 Premier League victory at Brighton and Hove Albion.

Spurs were rocked by the death of fitness coach Gian Piero Ventrone this week, and head coach Antonio Conte was visibly emotional during a touching pre-match tribute.

On the pitch, Conte's team delivered – Kane's excellent header proving the difference against Brighton in Roberto De Zerbi's first home game at the helm.

Kane missed a chance to double Spurs' lead around the hour mark, but despite showing plenty of promise, Brighton lacked the cutting edge to pull level as their seven-match unbeaten home run came to an end.

The visitors had the better of the opening exchanges – Son Heung-min testing Robert Sanchez with a free-kick before Matt Doherty sent a half-volley over.

Danny Welbeck drilled wide at the other end, but Spurs' early pressure told in the 22nd minute. Having made an outstanding stop to deny Rodrigo Bentancur, Sanchez was beaten when Kane stooped to expertly head home from Son's cross-shot.

Brighton finally managed to wrest some control after the half-hour mark, with Lewis Dunk heading over and Solly March's crisp effort arrowing a foot wide.

Despite having to withstand more Brighton pressure after the restart, Spurs might have had a second if not for Dunk brilliantly intercepting Kane's pass to Son.

Brighton's captain was turned easily by Kane a minute later, but Tottenham's talisman failed to apply the finish.

A late offside flag then disallowed a wonderful Son finish, but Tottenham – despite Welbeck missing another decent chance – ultimately did not require a second.

Xabi Alonso hailed Bayer Leverkusen's "complete performance" after his new side thrashed Schalke 4-0 in his first match as head coach on Saturday.

Former Real Madrid, Liverpool and Bayern Munich midfielder Alonso took the reins at the Bundesliga club on Wednesday, replacing Gerardo Seoane after Leverkusen were beaten 2-0 by Porto the previous day.

Jeremie Frimpong's brace – as well as goals from Moussa Diaby and Paulinho – handed Leverkusen just their second win of the Bundesliga season, ensuring Alonso made a flying start.

Speaking at a post-match news conference, Alonso said: "We're happy. After two days with the team, we didn't have much time, but the players understood what we want and how we want to play.

"It was a complete performance today, both offensively and defensively. I think we can still improve a lot. We talked about some concepts and the players understood them. It's a good start for the road ahead.

"I saw good quality in the team, and I have to help to bring them onto the pitch. We were very focused today, we always have to be. Good concentration and a good mentality are the key.

"As a player you play on the pitch, as a coach you play on the sidelines. You have to be part of the game and try to influence the game." 

Alonso must quickly switch his team's attention to the Champions League, however, with Leverkusen at risk of an early exit after losing two of their first three matches in Group B.

The Bundesliga outfit will host second-placed Porto on Wednesday, and Alonso is acutely aware of the match's importance.

"The game against Porto is very important for us," he added. "We still have every chance of progressing, but we need the three points to avoid being under too much pressure in the last two games."

World number one Iga Swiatek will face Barbora Krejcikova in the Ostrava Open final after beating Ekaterina Alexandrova on Saturday.

Swiatek continued her stellar season with a 7-6 (7-5) 2-6 6-4 victory over the Russian.

A tie-break was needed to settle the opening set, with Swiatek securing a crucial break of serve when 6-5 up.

The Pole was caught off guard in the second set as Alexandrova took it the distance, before Swiatek claimed the solitary break of the decider to lead 4-3 and did not allow her opponent a way back.

Swiatek, who has 60 wins to her name in 2022, will do battle with Krejcikova in the championship match after she came from a set down to defeat Wimbledon champion Elena Rybakina 3-6 7-6 (7-4) 6-4.

Rybakina served 17 aces to Krejciokva's two, but the Czech 26-year-old battled to victory to put herself in the final of her home tournament.

At the Jasmin Open, Alize Cornet knocked out second seed Veronika Kudermetova with a 6-4 6-3 triumph to clinch her place in Sunday's final.

Cornet saved nine of 11 break points to beat the world number 12 and has not dropped a set all week at the tournament in Tunisia.

Elise Mertens awaits Cornet in the final after a 6-4 6-0 success over Claire Liu, who knocked out top seed Ons Jabeur on Friday.

Mertens broke Liu at 5-4 up to take the first set before emphatically sealing victory with a sublime second in which she won 24 of the 29 points.

Diego Simeone knows Atletico Madrid must raise their game after he felt they panicked in a 2-1 victory over Girona.

Angel Correa scored an early goal in each half in only his second start of the season as Atleti put a Champions League defeat at Club Brugge behind them, securing back-to-back La Liga wins and moving into fourth place.

Rodrigo Riquelme pulled a goal back with a long-range drive midway through the second half and Girona were unfortunate not to leave the Cívitas Metropolitano with at least a point from Saturday's game.

Jan Oblak produced a great save to tip Aleix Garcia's drive against the post and the Atleti goalkeeper denied the same player with another stunning late stop.

Simeone felt his side made life difficult for themselves by dropping deep after Riquelme's strike, with a terrible mistake from goalkeeper Juan Carlos for Correa's second goal costing Girona.

The Atletico head coach said: "Winning 2-0, it happens many times with the game under control a goal comes and takes you out of the state you were in.

"You begin to think more about defending in almost a game that you have won, but it is not yet won. It leads you to gather [behind the ball] as protection as anyone does when they attack you, and in the end you plant yourself in a panic situation."

Simeone has no complaints with the effort his players are showing but says they will need more when they go in search of a much-needed victory over Brugge in the coming week.

He said: "There are times when you have to win, like today. At minute 60-70 we played it the way we wanted to play it.

"They are giving everything they have to compete and be in the two competitions in the best way. We have a very tough game on Wednesday, and we need the people and the players.

"We deal with and worry about what the team are going through, how to improve it. We could make some situations better. But we are trying to give the maximum for the best of the team."

Antoine Griezmann laid on the opening goal for Correa on a day Xavi confirmed Barcelona have agreed to accept a reduced fee to make his move to Atleti permanent.

Brahim Diaz netted a delightful individual goal after Fikayo Tomori had scored a contentious opener as Milan beat rivals Juventus 2-0 at San Siro.

Spain international Diaz charged towards the Juve goal after picking up the ball in his own half to double the home side's lead early in the second half of Saturday's Serie A clash.

That came after Tomori had made the breakthrough in first-half stoppage time, though Juventus felt there was a foul in the build-up to the corner from which the defender scored.

Despite being without a number of key men, including goalkeeper Mike Maignan, Milan saw out the win to inflict fresh pain on their former head coach Massimiliano Allegri.

Rafael Leao clipped the right-hand post with a back-heel flick with 20 minutes played and hit the other post soon after, this time with a powerful drive from outside the box.

Milan took the lead before the interval through Tomori, who got in the way of Olivier Giroud's goal-bound shot but turned the loose ball past Wojciech Szczesny from a few yards.

Juve were unhappy the goal stood due to a strong challenge from Theo Hernandez on Juan Cuadrado, but VAR could not intervene as it happened in a previous phase of play.

Diaz doubled Milan's lead as he intercepted a Dusan Vlahovic pass a few yards inside his own half, knocked the ball past a couple of Juve defenders and powerfully fired home.

What does it mean? Juve winning run halted as Rossoneri rise

Milan were poor in their midweek Champions League loss to Chelsea – a second defeat in three games in all competitions – but they responded well against Juventus.

The Rossoneri move level on points with pacesetters Napoli and Atalanta, who are both in action on Sunday, with this their sixth win in nine league outings this season.

As for Juve, they have failed to win any of their opening four Serie A away games for only the second time in the past 40 seasons and could drop into the bottom half on Sunday.

Diaz doubles up

Juve's defending for Diaz's goal was atrocious, from Vlahovic's loose pass to Leonardo Bonucci's failed attempt at a foul and then Szczesny's weak hand at the end of it.

Diaz is one of the three Spanish players to have scored more than one Serie A goal against Juventus, along with Jose Callejon and ex-Inter player Luis Suarez (three each).

Dusan's San Siro struggles

Not only did Vlahovic gift the ball to Diaz for his goal, the Serbia international also failed to have any sort of impact on the game in an attacking sense.

He failed to have a single shot and is now scoreless in four games at San Siro – only at Sassuolo's Mapei Stadium (four) has he played as many Serie A games without scoring.

What's next?

Both sides switch focus back to the Champions League on Tuesday, with Milan at home to Chelsea and Juventus away at Maccabi Haifa.

Bruno Guimaraes' move to Newcastle United was "absolutely a bargain" in the eyes of Eddie Howe, who savoured a masterclass on Saturday from the Brazil international.

Newcastle fended off reported interest from Juventus and Arsenal to sign Guimaraes from Lyon in January for £35million, with the midfielder acknowledging he "took a gamble" to boost his World Cup hopes.

The 24-year-old has subsequently delivered and become a favourite at St James' Park, scoring twice in the 5-1 win over Brentford on Saturday.

Since making his Premier League debut in February, no Newcastle player has managed more than Guimaraes' seven goals, further aiding his bid for a starting spot with Brazil at Qatar 2022 in November.

While Brazil head coach Tite will make the final call on Guimaraes' selection, Newcastle head coach Eddie Howe was effusive in his praise as he suggested his signing represented great value for money.

"I find it difficult with that number, but I would say that he's a bargain in today's current climate," Howe said. "He's absolutely a bargain because he's had a huge effect on the team and the club.

"In today's market, that is a relatively modest sum, which I can't really believe I'm saying. But it is.

"No disrespect to anyone I've played with, but they can't compare to Bruno, maybe bar Jermain Defoe, who was incredible in his early days. But there'd be no one else like him.

"In terms of coaching, I've coached some really good individuals, but he would be right up there. He's an incredible talent and an incredible person.

"We love him to bits, and we're enjoying watching him, coaching him and playing a part in his development."

Newcastle had been held in their last two home league games but returned to St James' Park winning ways in emphatic fashion.

The Magpies have lost just one of their last 11 Premier League games (W5 D5), while only four teams have more won points than Newcastle (52) in the competition in 2022.

Guimaraes told NUFC TV: "We've lost many points at home, and we can't have this happening. We know at home we need to win.

"Today was an amazing day for me. I'm very proud of the boys, of the gaffer."

Boss Howe pointed to upcoming games against Manchester United, Everton and Tottenham as representing a major test of his team. They come in the space of eight days, starting on Sunday, October 16.

"Now we enter a really tough three-game week," Howe said, "and we're well aware that those games are difficult.

"We'll enjoy tonight, and enjoy the feeling of how well the team has done, but then quickly focus on what's ahead."

Manchester United midfielder Scott McTominay has saluted Erik ten Hag's personal touch and revealed how the new management team have lifted flagging morale.

United posted four successive Premier League wins before last week's trip to rivals Manchester City, where hat-tricks from Erling Haaland and Phil Foden condemned them to a comprehensive 6-3 defeat.

However, Ten Hag's side bounced back with a 3-2 victory over Omonia Nicosia in the Europa League on Thursday, boosting their hopes of progressing from Group E.

McTominay came off the bench during United's trip to Cyprus but has started six of seven league games under Ten Hag despite the arrivals of Casemiro and Christian Eriksen.

Speaking to United's website, the Scotland international made a favourable comparison between Ten Hag and his predecessors, saying of the Dutch boss: "On tour [in pre-season] he asked me about my family and how they were and how they're getting on.

"That was a real good touch because I felt like I could then trust him, and want to play for him and be in a team with him, where he's pushing me.

"I obviously want to be making sure I'm doing my best for him because he's got a real understanding about my personal life as well, which is massive in terms of a player. I've never really, properly had that before.

"[I've had] other bits from other coaches, but I feel like he's really, really, good in that aspect."

With United failing to win a major trophy since Jose Mourinho's team captured the 2016-17 Europa League, McTominay felt sweeping changes were required at Old Trafford, and he highlighted the role of Ten Hag's backroom team in implementing them.

"There's a lot of change, obviously," he said. "I think it's clear to notice that on the pitch, in terms of the way we set up and the different ideas the manager has got."

He pointed to the influence of assistant boss Mitchell van der Gaag and technical director Darren Fletcher, and also highlighted the role of former England boss Steve McClaren, a notable recruit to Ten Hag's coaching staff.

"Steve McClaren is literally one of the best guys you can have in football because he keeps everybody alive, he keeps everyone together and that is so good for players, in boosting their confidence," McTominay said.

"I feel like some players needed that at the end of last season. They needed lifting and that energy bringing into the group, and they've most definitely done that."

United travel to Everton for their next Premier League outing on Sunday, looking to improve on their dismal record in recent away games.

The Red Devils have lost eight of their last 10 Premier League away matches, and scored as many goals in last week's defeat to City as they had in their previous eight road trips.

Graham Potter was full of praise for his "really impressive" Chelsea players after they cruised to a 3-0 victory over Wolves at Stamford Bridge.

A brilliant Kai Havertz header in first-half injury time set the Blues on their way, before Christian Pulisic and substitute Armando Broja added second-half goals to cap a brilliant display.

The three points took Chelsea into the top four and gave Potter an important first home league victory after arriving from Brighton and Hove Albion in September.

Potter was delighted with his team after the game, telling reporters: "Winning games helps so we look forward to the games.

"It's about hard work, it's being together, that stuff is important but the guys have been really impressive.

"Credit to Wolves, they came out and gave us more of a test in the second half, we saw that period out and we managed to score a nice goal.

"We want to score more than one, we were playing so well and if you have that performance level, the goals will come.

"The effort was fantastic and they've worked hard in training this week.

"I've said from the start I've been impressed with how open, honest and responsible they are. It's difficult to keep the same 11 with the schedule, but there is an element of consistency to how we play.

"[I am] Really happy with the boys and how we've recovered. We go again [at Milan] on Tuesday."

Potter explained his decision to make seven changes from Wednesday's 3-0 Champions League home victory against Milan, saying: "I pick the right team to [try to] win.

"The schedule is tight so there's not a load of recovery time. We have to try to select the best team to give us the chance to perform well."

The Chelsea boss was also pleased to see Broja get on the scoresheet with a well-taken finish into the bottom corner in the 90th minute.

"Great finish, nice pass too," Potter added. "Whenever he comes on he works hard for the team.

"He's had to be patient but he's been working hard in training and it's nice for him to score."

Riyad Mahrez declared Erling Haaland is "on fire" and Pep Guardiola labelled the new Manchester City talisman "an incredible weapon" after the striker scored once more against Southampton.

Joao Cancelo, Phil Foden and Mahrez all struck past former City goalkeeper Gavin Bazunu on Saturday, before Haaland coolly converted in the 65th minute to cap a 4-0 victory.

That marked his 15th Premier League goal in just nine games this season, as many strikes as Kevin De Bruyne managed in the entire last campaign when he finished as City's top league scorer in a championship-winning team.

Mahrez hailed his Norwegian team-mate after Haaland became just the second City player to score in seven successive Premier League appearances, after Sergio Aguero.

"It was a difficult game, we made it easy by scoring early and then we controlled," the Algeria international told BBC Sport.

"We had a lot of chances to score more, but we didn't. We didn't concede much, it was a controlled game.

"Haaland is part of our team, he is our striker. Like any other striker, if we can find him it's perfect because he is on fire. If not, there are a lot of players and everyone can make a difference."

City have now won their last nine home league games, scoring at least three goals each time, and moved to the top-flight summit by overtaking Arsenal, who play Liverpool on Sunday.

Manager Guardiola echoed the sentiments of Mahrez as he credited the exploits of free-scoring Haaland, while he pinpointed the early stages of the title race as significant heading towards the World Cup break in November.

"Last season we suffered a lot against them, but today we were much better," Guardiola told BBC Sport, referring to two league draws last term against Southampton.

"Some players were not at their best, but we create a lot of chances. We were solid.

"For a long time Phil Foden is playing really good. The impact from him is great. Erling Haaland had the chances again. He scored a brilliant goal. It's an incredible weapon for us, a big threat.

"We will see the result from Arsenal and Liverpool, always in Premier League there are good games. Being close to the top of the league is important going into the World Cup."

By contrast, Southampton have failed to keep a clean sheet in their last 19 Premier League away games – the longest current league run and the worst such streak in Saints' history in the competition.

Southampton sit just a point above the relegation zone, leading to increasing speculation that Ralph Hasenhuttl will be dismissed.

"I will not be here next week, because next week we play at home," manager Hasenhuttl said when asked about his future. "It is not my decision to make.

"Since I've come here, and it's been nearly four years now, we have been fighting for results. The problem is not here today, it's from other weeks where we did not get enough points."

Novak Djokovic progressed to the Astana Open final after Daniil Medvedev retired from their last-four clash due to injury.

The two played out a thrilling first two sets, with Medvedev taking the lead before Djokovic fought back to level the match via a tie-break.

However, the Russian was unable to continue after sustaining a leg injury, keeping Djokovic in the hunt for back-to-back titles when he competes in the showpiece, where he will face Stefanos Tsitsipas.

"I really hope that his injury is nothing too serious,” said Djokovic. "I know Daniil, he's a great guy, he's a fighter, he's a big competitor.

"He wouldn't retire a match if he didn't feel that he [could] continue or [if it wouldn't] worsen his injury. He told me that he pulled an adductor muscle in his leg.

"It was such a close match, particularly in the second set. I would probably say he was a better player on the court in both sets. I was fighting and trying to find a way.

"I found a way to win the second, but I'm just sad for the tournament and for these people who were enjoying the battle, and for Daniil that it had to end this way."

Third seed Tsitsipas started slowly in the first set against Andrey Rublev but managed to triumph 4-6 6-4 6-3 in Saturday's other semi-final.

"My mentality kind of changed," said Tsitsipas, who will seek his first ATP 500 title at the ninth attempt. "I played with more of an aggressive game style and didn’t have anything by luck."

At the Japan Open, Taylor Fritz battled back from 3-1 down in the deciding set against Denis Shapovalov to claim a 6-3 6-7 (5-7) 6-3 semi-final victory and book his place in his third ATP Tour final this season.

Third seed Fritz faces an all-American clash in Sunday's final against Frances Tiafoe, who dropped his first set of the week as Soonwoo Kwon bageled him, but the US Open semi-finalist recorded a 6-2 0-6 6-4 win.

"It was a weird match, but I'm happy to get through," said Tiafoe, who progressed into his second final of the season and fifth overall.

"It's not always going to be pretty, it's not always going to be the best stuff, but a win is what matters."

Angel Correa scored twice as Atletico Madrid put a midweek Champions League defeat behind them with a 2-1 win over Girona.

Atleti were beaten 2-0 by surprise package Club Brugge on Tuesday, but they responded with a LaLiga victory at the Civitas Metropolitano four days later

Correa marked his second LaLiga start of the season with an early goal set up by Antoine Griezmann, who played from the off after Barcelona boss Xavi confirmed an agreement had been reached over a permanent move for the France international.

A Juan Carlos howler gifted Correa his second, and although loanee Rodrigo Riquelme pulled a goal back against his parent club, Diego Simeone's side held on for all three points, helped by Jan Oblak's fine goalkeeping.

Griezmann missed a penalty in the defeat at Brugge, but he set about making amends by delivering a pinpoint cross from the left that was converted by Correa at the back post in the fifth minute.

Girona showed a positive response to going behind, Oriol Romeu having a shot blocked by Axel Witsel before Yangel Herrera scooped over the crossbar from inside the penalty area.

Matheus Cunha was denied by Girona goalkeeper Carlos after Griezmann played him in with a clever pass, and Herrera headed just wide at the other end on the stroke of half-time.

Carlos then gifted Correa a second goal with a casual pass that the Argentina forward cut out before applying a simple finish.

Carlos got down well to keep out Nahuel Molina's effort at his near post after a brilliant Yannick Carrasco pass opened up the Girona defence.

Riquelme gave the promoted side a deserved lifeline with a long-range drive midway through the second half.

Girona continued to pose a threat and Oblak superbly tipped a rasping Aleix García drive against the post and denied the same player with another brilliant save, as Atleti held on under late pressure.

Simone Inzaghi believes Inter demonstrated "a great desire to win" after Edin Dzeko's double secured a 2-1 victory over Sassuolo.

Inter, who beat Barcelona in the Champions League on Tuesday, got back to winning ways in Serie A after suffering back-to-back defeats, while they also ended a run of three successive away losses.

At the age of 36 years and 205 days, Dzeko passed the 100-goal mark in the Italian top flight, becoming the third-oldest player to do so after Goran Pandev (37y 268d) and Sergio Pellissier (37y 243d).

Inzaghi hailed the character shown by his players, telling DAZN in his post-match interview: "We saw an Inter that had a lot of desire to win and this overcame physical and mental fatigue.

"The team had a great desire to win, like Tuesday [against Barcelona in the Champions League]. Towards the end, despite the tiredness, we grew technically and this allowed us to win the game."

Inzaghi also highlighted the impact of club captain Samir Handanovic who, despite dropping to the bench to facilitate a Serie A debut for Andre Onana, gave a rousing pre-match speech in the dressing room at the MAPEI Stadium.

"Samir is an added value on the pitch and also off," Inzaghi said. "Only in this way can we move forward. But not only Samir, [everyone] made an important contribution.

"[Andre] played as I expected. A goalkeeper of very important quality and, in two months, he has shown that he can play the place with a great champion like Handanovic."

The big games keep coming for the Nerazzurri, who travel to Camp Nou in midweek for their return fixture against Barca.

"Now, we will have Barcelona, it is a delicate and important moment, with a few rotations especially in attack and in midfield," Inzaghi added. "We have to recover our energy."

Simone Inzaghi believes Inter demonstrated "a great desire to win" after Edin Dzeko's double secured a 2-1 victory over Sassuolo.

Inter, who beat Barcelona in the Champions League on Tuesday, got back to winning ways in Serie A after suffering back-to-back defeats, while they also ended a run of three successive away losses.

At the age of 36 years and 205 days, Dzeko passed the 100-goal mark in the Italian top flight, becoming the third-oldest player to do so after Goran Pandev (37y 268d) and Sergio Pellissier (37y 243d).

Inzaghi hailed the character shown by his players, telling DAZN in his post-match interview: "We saw an Inter that had a lot of desire to win and this overcame physical and mental fatigue.

"The team had a great desire to win, like Tuesday [against Barcelona in the Champions League]. Towards the end, despite the tiredness, we grew technically and this allowed us to win the game."

Inzaghi also highlighted the impact of club captain Samir Handanovic who, despite dropping to the bench to facilitate a Serie A debut for Andre Onana, gave a rousing pre-match speech in the dressing room at the MAPEI Stadium.

"Samir is an added value on the pitch and also off," Inzaghi said. "Only in this way can we move forward. But not only Samir, [everyone] made an important contribution.

"[Andre] played as I expected. A goalkeeper of very important quality and, in two months, he has shown that he can play the place with a great champion like Handanovic."

The big games keep coming for the Nerazzurri, who travel to Camp Nou in midweek for their return fixture against Barca.

"Now, we will have Barcelona, it is a delicate and important moment, with a few rotations especially in attack and in midfield," Inzaghi added. "We have to recover our energy."