Everton manager Marco Silva was delighted to mark his first home match with a first Premier League victory since taking over at Goodison Park.

After digging deep with 10 men in last weekend's draw at newly-promoted Wolves, the Toffees flew out of the blocks on home turf against Southampton, eventually winning 2-1.

Theo Walcott capped a fine free-kick routine with a 15th-minute opener that big-money summer signing Richarlison added to before the break.

Everton were made to sweat thanks to Saints' vastly-improved second-half display, but Mark Hughes' men were unable to add to Danny Ings' first goal for the club.

Silva said: "Everybody is happy. Important win for us, good performances in some moments. Fantastic atmosphere in our stadium. For our first match it is really good."

There was a feelgood factor around Goodison Park, especially with new boy Richarlison impressing once again.

The reported £40m fee which brought the Brazilian from Silva's former club Watford raised eyebrows, but a third goal in just two matches has helped quieten doubters.

Silva continued: "It is important for him. Two games, three goals is important for him, but the first goal from Theo was important as well."

Leicester manager Claude Puel, meanwhile, felt Jamie Vardy was "unlucky" to be sent off in Leicester's 2-0 victory over Wolves.

The England forward was shown a straight red card with 25 minutes remaining after catching Matt Doherty with a high challenge.

Doherty, who was forced off injured as a result of the tackle, had earlier headed in an own goal to put Leicester ahead, with James Maddison marking his home debut with a deflected strike to seal the win.

Vardy now faces a three-match ban although Puel believes the striker – who signed a new four-year deal earlier in the month – was unfortunate to be given his marching orders by referee Mike Dean.

"It was not his intention to make a foul and he touched the ball," said the Leicester boss.

"He was enthusiastic and it is a pity. We need now to find a solution to replace him and it will be a good opportunity for another player to show their quality."

At Wembley, Tottenham boss Mauricio Pochettino watched his side beat Fulham 3-1 to make it two wins out of two in the new league season, but said players not in his team are free to leave and he will not bow to pressure to play them.

Goals from Kieran Trippier and Harry Kane in the final 20 minutes earned the three points after Aleksandar Mitrovic had cancelled out Lucas Moura's first-half strike.

But a five-minute monologue from Pochettino dominated the post-match press conference after he was asked whether Toby Alderweireld, who played 90 minutes, will stay at the club.

Speculation over the the Belgium defender's future is rife as he is thought to be free to leave the club along with Danny Rose and Mousa Dembele.

Speaking generally, Pochettino said: "I am so open if players want to leave, but if they are going to be here I want all commitment, if not we can find a solution.

"I am so tired to talk about if some players aren't happy or some players want to leave. Of course every player if they don't play will be disappointed.

"But the rules in football . . . why is the squad 25 players if you can only play 11? Why not like basketball that you can change every minute, why not like in Italy when you all can be on the bench and don't have a list of 18?

"I am so tired about that, I want to enjoy football, it's wasting time."

West Ham, meanwhile, slipped to a 2-1 home defeat to Bournemouth.

Despite spending £100m on nine new signings over the summer, Manuel Pellegrini's side are still struggling to gel.

They were leading through Marko Arnautovic's first-half penalty but Callum Wilson's solo goal and Steve Cook's header condemed the hosts to a second straight defeat.

West Ham won only seven matches at the London Stadium last season and need their new faces to get their act together quickly if they are to avoid another torturous campaign.