Chelsea, needing victory to keep the title race alive, could only scrape a 1-1 draw at Arsenal on Sunday.
Images from Saturday's action in the Premier League.
Six points was the minimum requirement for England's opening two games and while the opposition were not of the highest quality, Tuchel said they were useful tests.
Leaders Manchester United suffered their first Premier League defeat of the season on Saturday as they went down 2-1 at bottom club Wolverhampton Wanderers.
Arsenal will host Newcastle United in the outstanding League Cup third-round tie after the draw was made on Saturday.
Manchester United breezed into the next round with a 6-1 aggregate win over Club Brugge
Arsenal kick-started their Premier League season at the expense of Liverpool with new signings Lukas Podolski and Santi Cazorla both opening their accounts in a comfortable 2-0 win at Anfield.
The top two teams in the EPL will battle for supremacy at the Emirates Stadium on Saturday.
The following is the draw for the Champions League last 16 which was held in Nyon on Monday:
The top three places in the Premier League table look secure for Liverpool, Manchester City and Leicester City, but the fourth spot, currently occupied by Chelsea, remains tantalisingly within reach for several clubs including Carlo Ancelotti's Everton and Ole Gunnar Solskjaer's United.
And champions Arsenal face Blackburn Rovers in next month's FA Cup semi-finals in Cardiff.
Late goals from William Gallas and Tomas Rosicky gave Premier League leaders Arsenal a 2-0 win over Wigan Athletic on Saturday as champions Manchester United slipped to a 1-0 defeat at Bolton Wanderers. In another match, Steven Gerrard inspired fifth-placed Liverpool to a 3-0 victory at Newcastle United.
Barcelona signed Arsenal's Belgium international defender Thomas Vermaelen on a five-year contract on Sunday.
Chelsea closed the gap on leaders Arsenal to four points on Saturday with a 1-0 win at Tottenham Hotspur in the English premier league.
Javier Hernandez went off clutching the match ball after helping leaders Manchester United fight back for a 3-2 win at Aston Villa after Arsenal were held in another rip-roaring Saturday of Premier League action.
'Now even winning our games does not guarantee us to be in the Champions League, that is what we have to achieve'
Arsenal are likely to use Cesc Fabregas in an advanced role to add more bite to their attack in the Champions League semi-final first leg against Manchester United at Old Trafford on Wednesday.
The Arsenal captain said he will stay at the London Club until the end of his contract in 2007
England's captain denied any rift with Manchester United manager Alex Ferguson.
Images from Saturday's English Premier League matches.
Chelsea's hopes of retaining the Premier League title looked forlorn and Carlo Ancelotti's future equally bleak on Wednesday as the champions' fall from grace continued with a 1-0 defeat at Wolverhampton Wanderers.
Newcastle United defender Stephen Taylor equalised on the hour to earn a 1-1 draw against Arsenal at home.
Failing to sign Cristiano Ronaldo is outgoing Arsenal manager Arsene Wenger's biggest transfer regret
Arsenal joined Manchester United and Liverpool on the FA Cup scrapheap on Sunday when Ricardo Fuller's double helped Stoke City to a 3-1 fourth round victory at the Britannia Stadium.
Arsenal resume battle with Manchester United at the top of the Premier League on Saturday.
Arsenal regained first place in the Premier League with a 1-1 draw with Liverpool at Anfield.
Arsenal ended their away hoodoo against Premier League title challengers with a 2-0 victory at Manchester City on Sunday that left Chelsea five points clear at the top.
Manchester City comfortably beat Fulham 3-0 to move three points clear of Manchester United at the top of the Premier League table as snow engulfed northern England in freezing conditions Saturday.
Manchester United and Tottenham Hotspur built hefty leads with emphatic away wins in their Europa League last 32 first-leg matches but AC Milan were held to a 2-2 draw at Red Star Belgrade as the competition resumed on Thursday.
Manchester United continued their push for a top-four finish with a comfortable 3-0 victory at champions Leicester City on Sunday, extending their unbeaten Premier League run to 15 games.
Manchester United routed Aston Villa 4-0 while Arsenal fought back from two goals down for a 3-2 win over Bolton Wanderers.
Neither the weather nor the anti-climax of the ceremony taking place the day after the FA Cup final defeat by arch-rivals Manchester United 2-1 could dampen the spirits as flags, bananas and even a blow-up Jack Grealish dummy were held aloft in triumph.
Arsenal manager Arsene Wenger said good fortune and mental toughness were behind his team's penalty shootout win over Manchester United in Saturday's FA Cup final.
Arsenal overcame the dismissal of striker Nicklas Bendtner to beat Everton 4-1 away on Saturday and regain top spot in the Premier League after Manchester United had earlier lost 2-1 at West Ham United
Manchester United routed Dynamo Kiev 4-0 while a goalless draw saw Arsenal through to the Champions League knockout stages.
A young Arsenal side delighted a near capacity crowd at the Emirates Stadium with a scintillating 2-1 victory over Liverpool to secure a place in the League Cup quarter-finals on Wednesday.
Manchester United surged six points clear at the top of the English Premier League with a 2-1 comeback victory over Arsenal at Old Trafford on Sunday that also snuffed out the London club's slim title hopes. Emmanuel Adebayor put Arsenal ahead early in the second half but a Cristiano Ronaldo penalty levelled and Owen Hargreaves won it with a 72nd-minute free kick. The result leaves United on 80 points, six clear of Chelsea, who host Wigan Athletic on Monday.
Arsenal had more than twice as many chances but failed to take any as the visitors defended gamely.
Manchester City striker Sergio Aguero is battling to be fit for this weekend's Premier League clash at Arsenal after suffering a 'stupid' foot injury last week, the club website said on Wednesday.
