Kurt Zouma and Eden Hazard scored the goals the goals in a match that saw Diego Costa play central character.
Liverpool opened up a seven-point gap at the top of the English Premier League with a 1-0 win at Brighton & Hove Albion on Saturday, while Arsenal's poor away form continued with a 1-0 defeat at West Ham United.
The English champions beat Porto 3-2 on aggregate in the Champions League.
Conte said his team could face a more daunting task against the five-time European champions at the Nou Camp.
Premier League leaders Manchester United beat Charlton Athletic 2-0 to stay six points clear of Chelsea.
Multiple homes, million-dollar art, their very own professional sports teams. Just a few of the ways successful financiers spend their paychecks.
"Sergio Aguero will be assessed by Club doctors today after being involved in a road accident on Thursday," City said of the Argentina striker in a statement on their website. (www.mancity.com)
Arsenal dealt Chelsea's title hopes a blow by holding the champions to a pulsating 1-1 draw.
Liverpool coach Rafael Benitez paid tribute to the passion of his players and the roar of the Anfield crowd after beating Chelsea on penalties
Liverpool beat Chelsea 4-1 on penalties to reach the final for the second time in three seasons.
Chelsea coach Jose Mourinho believes striker Didier Drogba holds the key to their Champions League semi-final against Liverpool at Anfield.
A first-half goal from Joe Cole gave Chelsea a 1-0 victory over Liverpool in the first leg of their all-English Champions League semi-final.
The two sides will be meeting for the 14th time since Jose Mourinho and Rafael Benitez arrived in English football in 2004 and there is little they do not know about each other.
Wednesday's Champions league first leg semi-final will be the 14th meeting between the two teams. Chelsea won six of those meetings and Liverpool four. Three were drawn.
Manchester United will carry the hopes of an all-English Champions League final with them this week when they host AC Milan and Chelsea face Liverpool at Stamford Bridge.
Chelsea missed their chance to slash Manchester United's lead in the Premier League to a single point on Sunday when they were held to a 0-0 draw at Newcastle United.
Though the draw gave United a four-point lead over Chelsea, that gap could be slashed to a single point on Sunday when the champions take on Newcastle United at St James' Park.
Louis Saha restored Manchester United's lead in the Premier League in a 1-0 win at Blackburn Rovers after Chelsea trounced Watford 4-0.
Manchester City stumbled to the most unexpected defeat of the Premier League season on Saturday before neighbours Manchester United began their brave new world under Ole Gunnar Solskjaer with a glorious reminder of long-forgotten attacking swagger.
Goalkeeper Petr Cech believes Arsenal are ready to clear the final hurdle needed to end the Premier League title drought, and said he was overwhelmed by the support he has received from fans and teammates at his new club.
Chelsea could step up the pursuit for Champions League title by signing two of the biggest names in world football
A draw for Jose Mourinho's side will finally extinguish Manchester United's hopes of a first championship since 2003
Barcelona went out of the Champions League in the first knockout phase on the away goals rule despite a 1-0 win over Liverpool.
A stunning strike by Didier Drogba earned 10-man Chelsea a 1-0 victory over Liverpool on Sunday after the champions had Germany midfielder Michael Ballack dismissed for stamping
Ashley Cole has fanned the flames of his acrimonious departure to Chelsea by accusing Arsenal of betraying him.
William Gallas denied on Tuesday he made any threats against his former club Chelsea.
Former Manchester United full-backs Gary and Phil Neville slammed the club's "garbage" defending after Sunday's crushing 4-0 defeat to Chelsea in the English Premier League.
The French defender smashed home a superb stoppage-time winner to give champions Chelsea a 2-1 victory over Tottenham Hotspur.
Photos from the English Premier League matches played on Saturday
Chelsea will be hoping to emulate London rivals Arsenal by beating Barcelona in their Champions League first knockout round tie.
Jose Mourinho was sacked as manager of Premier League champions Chelsea on Thursday, according to BBC sources, following a dreadful run of results.
1923-2018: Remembering Mort Walker.
Chelsea manager Jose Mourinho has much to ponder as he prepares his side for Saturday's local derby against Fulham at Stamford Bridge.
Manchester United beat Wigan to extend their lead atop the EPL after Chelsea were held by Reading.
The win allowed second-placed Liverpool to close the gap on league leaders Manchester City to two points.
IMAGES from the English Premier League matches played on Sunday
Manchester United are three points clear of champions Chelsea in the Premier League.
Gabriel Jesus came off the bench to secure Manchester City a 1-0 English Premier League victory at Leicester City after yet another penalty miss by Pep Guardiola's side on Saturday. Chelsea's Olivier Giroud and Marcos Alonso returned to the starting lineup to stunning effect by grabbing a goal apiece in a crucial 2-1 home win over Tottenham Hotspur in the battle between the London rivals for fourth place.
Wayne Rooney may not start Manchester United's Europa League match against Ukrainian side Zorya Luhansk for his own protection as he is struggling with a back injury, manager Jose Mourinho said on Wednesday.