Premier League Everton survived a mighty scare to beat League One Barnsley 5-3 after extra time in the League Cup second round on Wednesday.
Chelsea, who beat Leicester City 2-0 at Stamford Bridge with goals from home debutant Diego Costa and Eden Hazard, and Swansea City, who sank Burnley 1-0 at the Liberty Stadium, head the early season standings with six points.
Jonatan Soriano's love affair with the Europa League continued as last season's top scorer grabbed a hat-trick on Thursday to help Salzburg become one of four teams to reach the knockout stages.
Anthony Martial introduced himself to Manchester United fans with a superb goal to complete a 3-1 win over bitter rivals Liverpool and cap a much-improved performance from Louis van Gaal's side on Saturday.
Ross Barkley scored a sublime goal as Everton beat Queens Park Rangers 3-1 at Goodison Park on Monday to subject the travel-weary Londoners to their eighth away defeat in as many Premier League matches this season.
Tottenham Hotspur's Harry Kane struck deep in added time to rescue a 2-2 home draw at home to West Ham United, while Liverpool's top-four hopes were fuelled by a 2-0 win at Southampton in the Premier League on Sunday.
A headed goal in second-half injury time by Cristiano Ronaldo gave Portugal a much-needed 1-0 win over Denmark in their Group I Euro 2016 qualifier on Tuesday.
A full-strength Arsenal added another piece of silverware to their recent FA Cup success by beating Everton 3-1 in the final of the Premier League's Asia Trophy on Saturday.
Chelsea midfielder Cesc Fabregas gave his manager a reminder of his talents by scoring twice in extra time as they fought back from two goals down to knock Premier League champions LeicesterCity out of the League Cup 4-2 on Tuesday.
It was a day of role reversal as Jose Mourinho's often cautious Chelsea thumped Everton 6-3 in a thriller on Saturday while champions Manchester City's attacking talents were blunted in a shock 1-0 home defeat by Stoke City.
Debutant Helder Costa opened the scoring on his international debut for an experimental Portugal who made 10 changes from the team which started the 3-2 Nations League win in Poland on Thursday.
Chelsea beat Newcastle United 2-0 for a 10th successive Premier League home win at their Stamford Bridge stronghold on Saturday to reassert themselves as Premier League leaders while champions Manchester City drew at Everton.
Germany's Thomas Mueller struck twice as the nervy world champions kicked off their Euro 2016 qualifying campaign with a 2-1 victory over Scotland on Sunday.
Charlie Adam scored twice as Stoke City beat Manchester United 2-1 on Saturday to show the flailing Premier League champions it will take more than one big-money signing to improve their fortunes.
Arsenal scored twice in the opening seven minutes and ended the match as a contest with a third in the 19th as they crushed Manchester United 3-0 to move above them into second place in the Premier League at the Emirates on Sunday.
David de Gea's late own goal earned Sunderland a 2-1 win over Manchester United on Saturday and a vital three points in their bid for Premier League survival.
Liverpool substitute Adam Lallana struck deep into stoppage time to snatch a 5-4 win over shell-shocked Norwich City in an extraordinary Premier League game at Carrow Road on Saturday.
Jose Mourinho maintained his hold over Arsene Wenger with leaders Chelsea enjoying a routine 2-0 win over Arsenal on Sunday after the two old adversaries became involved in an ugly touchline spat.
Roberto Firmino's goal gave Brazil a 1-0 victory over Chile in a feisty friendly at the Emirates Stadium in London on Sunday, their eighth successive win since last year's disappointing World Cup campaign.