Adrian fired past opposite number and Spanish compatriot Joel Robles immediately after the Everton keeper had crashed his spot kick against the crossbar as West Ham won 9-8 on penalties.
Midfielder Joey Barton has confirmed he will not join West Ham after the club pulled out of talks over a potential deal following protests from their fans.
England striker Andy Carroll made an immediate impact for new club West Ham United in a 3-0 Premier League demolition of Fulham on Saturday, showing he could prosper in the capital after an ineffective spell with Liverpool.
West Ham United manager Sam Allardyce has signed a new two-year contract at the Premier League side, the east London club's co-owner David Gold said on Twitter on Saturday.
West Ham United eased into the quarter-finals of the FA Cup with a 5-1 romp at second-tier Blackburn Rovers on Sunday.
Manchester United ended a momentous evening hinting at a brighter future after reaching the semi-finals with a 2-1 victory.
The 28-year-old France international collided with Tomkins in the 76th minute at the Emirates and appeared to be dazed by the clash, but was left on the pitch after being assessed by his team's medical staff.
Stoke thought they had secured all three points and their first away win since October when substitute Peter Crouch knocked a loose ball into the back of the net after West Ham's England goalkeeper Joe Hart spilled a shot after 79 minutes.
West Ham United manager Gianfranco Zola has pledged his long-term future to the club by signing a new contract until 2013.
Ruben Amorim is set to become the next manager of Manchester United with the Premier League club prepared to pay Sporting the 10 million euros ($10.79 million) release clause, the Portuguese club said on Tuesday.
West Ham United marked their first match at the Olympic Stadium with a 3-0 win over Slovenian side NK Domzale, Cheikhou Kouyate scoring twice to help secure a place in the Europa League playoff round.
Everton have signed David Moyes for a second spell as their manager, the Premier League club said on Saturday.
West Ham United, reduced to 10 men after defender James Tomkins was sent off in the first half, won 5-3 in a penalty shootout against Maltese Cup winners Birkirkara to scrape into the Europa League third qualifying round on Thursday.
West Ham United players are motivated by their position in the Premier League table and they are keen to stay close to the top for as long as possible, manager Slaven Bilic said on Thursday.
Everton's Romelu Lukaku spared his side a fifth straight defeat by snatching an added-time equaliser to salvage a 1-1 home draw with West Ham United in the FA Cup third round on Tuesday.
West Ham United have agreed to sell their ground at Upton Park to London developer Galliard Group once they have moved to the Olympic Stadium in 2016, the club announced on Monday.
There was controversy about West Ham's equaliser when Mexican striker Javier Hernandez stooped to head in from close range but replays suggested the ball went in off his arm.
Images from the Enlish Premier League matches played on Sunday.
Alvaro Negredo grabbed a hat-trick as Manchester City crushed West Ham United 6-0 in their League Cup semi-final first leg on Wednesday in another body blow for the beleaguered London club.
West Ham United edged closer to a Premier League return with a 3-0 home win over Cardiff City on Monday, completing a 5-0 semi-final aggregate triumph to ease into the Championship (second division) playoff final.
West Ham United manager Sam Allardyce believes it is acceptable for players to "make a meal out of" contact if it helps them win penalties and free kicks.
West Ham United midfielder Ravel Morrison has admitted an FA charge of "using abusive and/or insulting words" after a homophobic remark on Twitter, the governing body said.
IMAGES from the Premier League matches played on Saturday.
Australian captain Sam Kerr who has Indian ancestry, has pleaded not guilty to one count of racially aggravated harassment.
The 500 million pounds 2012 London Olympic stadium is reportedly at the centre of a corruption scandal.
West Ham United appointed Sam Allardyce as their new manager on Wednesday, the Briton succeeding Avram Grant, who was sacked following the London club's relegation from the Premier League.
West Ham United manager Sam Allardyce deserves credit for re-introducing the 'West Ham way' after a positive start to the Premier League season, co-chairman David Sullivan said on Friday.
Argentine striker Mauro Zarate could make his debut for Premier League strugglers Queens Park Rangers this weekend after joining on loan from West Ham United on Tuesday.
West Ham United moved level on points with sixth-placed Arsenal after being held to a 1-1 draw at home to Stoke City in a dour Premier League clash at Upton Park on Monday.
West Ham bade farewell to the Boleyn Ground after 112 years with a pulsating 3-2 victory over Manchester United to leave the visitors' top-four hopes in tatters on Tuesday.
Aston Villa became the latest of the Premier League's top-four challengers to miss an opportunity when they were held to a disappointing goalless draw by West Ham United on Sunday.
Images from Saturday's action in the Premier League.
Fernando Torres scored twice as Liverpool battled to a 3-2 English Premier League win at West Ham United on Saturday after the Londoners had twice pegged them back. Belgian centre back Thomas Vermaelen was a less likely two-goal hero as his double set up Arsenal for a 4-0 home thrashing of Wigan Athletic - emphatically avoiding a hat-trick of defeats after losses to Manchester United and City.
West Ham United's bid to re-sign Carlos Tevez stalled because of the striker's salary demands, the Premier League side's co-chairman David Sullivan has said.
A brilliantly-worked goal by Ryan Christie and a Justin Kluivert penalty gave Bournemouth shock 2-0 Premier League win at home to 10-man Arsenal.
Striker Peter Crouch celebrated his 26th birthday by scoring Liverpool's winner in a 2-1 victory at West Ham United that put his side in the thick of the title race.
Manchester United took a huge step towards retaining their Premier League title when they beat West Ham United 4-1 at Old Trafford on Saturday after playing more than half the match with 10 men.
Pellegrini, who is from Chile, and his wife were with two friends near a restaurant in the Santiago suburb of Vitacura when the armed gang targeted them. The robbers stole a handbag belonging to Pellegrini's wife Carola Pucci before they fired at police as they escaped in a stolen car.
Premier League champions in 2012 and 2014, Manchester City went to the top of the table with a 3-1 victory over West Ham United on Sunday. They moved on goal difference above Chelsea and neighbours Manchester United, who have also won their three opening games.