Manchester United opened up the Premier League title race with a convincing 2-0 home victory over leaders Chelsea on Sunday that leaves second-placed Tottenham Hotspur just four points behind.
Arsenal are eighth, seven points adrift of fourth-placed Chelsea, while Norwich remain second from bottom.
Conte said his team could face a more daunting task against the five-time European champions at the Nou Camp.
England coach Roy Hodgson will be strongly tempted to start with Jamie Vardy and Daniel Sturridge in attack against Slovakia on Monday after both came off the bench to score in the 2-1 win over Wales.
Manchester United's Bruno Fernandes fired home a late penalty to rescue a point for the visitors in a lively 1-1 draw at Tottenham Hotspur in the Premier League on Friday.
Such is the level of consistency of Manchester City (nine straight wins) and Liverpool (five straight victories), that it can be easy to lose sight of just how good this title race is.
News of all that tranpired on and off the football field.
Images from the English Premier League matches played on Saturday
Alex Ferguson famously described the Premier League title run-in as 'squeaky-bum time' and leaders Leicester City and second-placed Tottenham Hotspur look best-placed to handle the pressure.
Images from the football matches played across Europe on Tuesday.
Chelsea a 1-0 win over Manchester United in a compelling Premier League clash on Sunday
News of all that transpired on and off the football field
A preview of the line-up action in the English Premier League
Of all the managerial dilemmas facing Manchester United's Jose Mourinho after three success defeats, the future of his captain Wayne Rooney is by far the most pressing. The England captain, deployed in a central midfield role this season, has been a peripheral figure in a team struggling to gel and his lacklustre performance in the 3-1 defeat at Watford on Sunday led to widespread calls for him to be dropped. Rooney mustered one shot, did not play a single through ball and created only two chances for team mates with the nine corners and free kicks he took.
'I want to say I was convinced even before (the defeat by Chelsea in February's FA) Cup match that controlling the two players that play behind Diego (Costa) and controlling the full-backs, because they go really deep with two wide men, would create lots of problems and I repeat the same'
Croatia ruthlessly exposed England's limitations in the second half of the World Cup semi-final on Wednesday as Zlatko Dalic's side fought back to secure a famous 2-1 extra-time victory.
Manchester United beat AC Milan 5-4 on penalties after their International Champions Cup match in Cardiff's Millennium Stadium ended 2-2 in regulation time on Saturday.
Manchester United's Jose Mourinho, humbled for the second time this season in front of the Chelsea fans who once idolised him, did not go quietly on Monday as he declared that he remains the London club's number one manager.
News of all that's transpired on and off the football field.
Stones headed England in front in the eighth minute, losing his marker to angle home a Kieran Trippier corner before captain Kane made it 2-0 in the 22nd minute with his third goal of the tournament, an emphatically struck penalty after Jesse Lingard was pushed over in the box by Fidel Escobar.
Chilean forward Alex Sanchez returned to haunt his old club with the opening goal in Manchester United's 3-1 victory at Arsenal in a heavyweight FA Cup fourth-round clash.
Manchester United's Zlatan Ibrahimovic came off the bench to score the winner as they recovered from an early deficit to beat Championship strugglers Blackburn Rovers 2-1 away in the FA Cup fifth round on Sunday.
Uruguay will head to the World Cup on a winning note after beating Uzbekistan 3-0 in a chilly warmup in front of their own fans on Thursday.
Real Madrid beat Manchester United 2-1 on Tuesday to lift the European Super Cup for the fourth time as they became the first team to retain the trophy since AC Milan in 1990.
Photos from the English Premier League matches played on Wednesday
If England coach Roy Hodgson's two halftime substitutions proved decisive in turning the tide in their 2-1 victory over Wales on Thursday, he still risked a charge of not having made them before the game rather than midway through. As usual, however, the result was all and a win enabled the normally conservative Hodgson to claim justification for his strategy. Others will question whether his loyalty to Raheem Sterling and Harry Kane, both poor for the second successive match, might have been costly in terms of both England's qualification and, after that, his own job prospects.
Substitute Daniel Sturridge scored a dramatic winner in injury time to steer England towards a 2-1 win over Wales and top spot in their Group B clash Euro 2016.
A summary of Thursday's Euro 2020 qualifying matches.
England's Harry Kane and Jamie Vardy struck in a 2-1 friendly win over fellow Euro 2016 finalists Turkey on Sunday as the home side warmed up with a performance that highlighted their potency in attack and defensive limitations.
Real Madrid's French duo Karim Benzema and Ferland Mendy struck in the second half as the Spanish champions overcame an injury crisis to beat Getafe 2-0 at home on Tuesday and close the gap to La Liga leaders Atletico Madrid to five points.
Manchester United held on for a goalless draw in a feisty derby with Manchester City after midfielder Marouane Fellaini was sent off for a headbutt in the Premier League clash at the Etihad Stadium on Thursday.
A summary of Saturday's matches in the English Premier League.
On the face of it, Jose Mourinho shouldered the blame for the wounding defeat in his first Manchester derby at Old Trafford on Saturday.
Juventus progressed to the Champions League last 16 after a Cristiano Ronaldo goal and a late header from substitute Alvaro Morata gave them a comeback 2-1 home win over Hungarians Ferencvaros on Tuesday.
Captain Paul Pogba produced an outstanding performance garnished by two goals to help Manchester United to a resounding 3-0 win at Swiss debutants Young Boys Bern in their Champions League Group H opener on Wednesday.
Liverpool started the ball rolling with a convincing 4-1 win at home to promoted Norwich and City responded a day later with an even more emphatic 5-0 victory at West Ham United.
A preview of the line-up action in the English Premier League
Virgil van Dijk made a dream start to his Anfield career, scoring the winning goal on his debut for Liverpool, as they beat city rivals Everton 2-1 in a pulsating FA Cup third round tie on Friday.
Liverpool took a giant step towards their first title since 1990 on Saturday when their 3-0 win at Bournemouth combined with Manchester United's 2-1 victory at Manchester City to leave the champions 14 points adrift of the Premier League leaders.
Joe Maguire was found guilty of repeated bodily harm, violence against public employees and attempted bribery. Sharman was found guilty of insult, repeated bodily harm and violence against public employees.
