The contests have often produced goal fests with the sides averaging nearly four goals a game including some unforgettable strikes from the likes of Ronaldinho and Drogba
Sportsmail takes a look at some of those encounters.
1999-2000Chelsea 3-1 BarcelonaApril 5, 2000 - Quarter-final 1st leg
Barcelona 5-1 Chelsea (6-4 agg)April 18, 2000 - Quarter-final 2nd legAfter leading 3-1 from the first leg thanks to goals from Tore Andre Flo and Gianfranco Zola, Chelsea travelled to the Nou Camp hopeful of progressing to the European Cup semi-finals for the first time in the club's history.
Sadly for Gianluca Vialli and his men they came up against a Barcelona side packed full of superstars playing at the top of their game.
Spot on: Rivaldo celebrates after scoring from the spot
Goals from Figo, Dani and Rivaldo took the game to extra time before Rivaldo scored from the spot after a lunge on Figo by Celestine Babayaro.
Patrick Kluivert finished off the tie off with a neat header to send Louis Van Gaal's men through to the semis.
2004-05Off day: Drogba is shown the red card as he apparently lays injured
Barcelona 2-1 Chelsea February 23, 2005 - Last 16 1st leg
Jose Mourinho returned to the club where he began his coaching career and watched his young Chelsea side lose 2-1 courtesy of strikes from Maxi Lopez and Samuel Eto'o.
Didier Drogba was sent off for a studs-up lunge on keeper Victor Valdes with 34 minutes left on the clock.
From then on Chelsea's 10 men defended like lions to keep their hopes alive for what was to be an unforgettable return leg at Stamford Bridge.
Chelsea 4-2 Barcelona (agg 5-4)March 8, 2005 - Last 16 2nd leg
The west London crowd were in dreamland when Eidur Gudjohnsen, Frank Lampard and Damien Duff put their side 3-0 ahead inside 20 minutes.
But a Ronaldinho penalty gave Barcelona the lifeline they needed after a dodgy handball decision went against Paulo Ferreia.
Mourinho nearly talked himself into the stands with his remonstrations at the fourth official, but he could not complain about the Brazil striker's second strike.
Seemingly surrounded by Blue shirts on the edge of the Chelsea box, he used Ricardo Carvalho as a shield to block Petr Cech's view before bending in a delicious right-foot curler inside the left post.
It was left to captain John Terry to put his side through to the quarters with a firm header from Damian Duff 's corner.
Mourinho, who had accused Barcelona players of diving in the first leg, further upset his side's opponents with his exuberant victory celebrations.
Samuel Eto'o described the Portuguese manager's behaviour as shameless adding: 'With so much money and so many players, what they do is not football.'
VIDEO: Ronaldinho's goal.
2005-06Chelsea 1-2 Barcelona February 22, 2006 - Last 16 1st leg
Following the controversy of 2005, Barcelona were clearly pumped up for a rematch and showed much more grit and physicality than the previous year.
Second-half own goals from Terry and Thiago Motta meant the match was level with 10 minutes to go before Eto'o's tidy header gave Barcelona a second vital away goal.
Don't look back: Thiago Motta deflects into his own goal
Barcelona 1-1 Chelsea (agg 3-2) March 7, 2006 - Last 16 2nd leg
The return leg at the Nou Camp was a drab affair with both sides holding back. But it was Ronaldinho again who caused Chelsea problems.
The Brazilian smashed home a low drive from 18 yards before Frank Lampard scored a consolation penalty.
VIDEO: Ronaldinho's vital goal.
2006-07Chelsea 1-0 BarcelonaOctober 18, 2006 - Group stage
Both sides must have been sick of the sight of each other when drawn together in the group stages.
This was a game which Chelsea dominated and which could have been sealed much earlier if Andriy Shevchenko's finishing had not deserted him.
Didier Drogba, however, could not be accused of the same. His neat turn and powerful shot after great work from Ashley Cole down the left bagged a much needed three points for Chelsea's round one campaign.
With Chelsea's third-choice keeper between the sticks following sickening injuries to Cech and Carlo Cudicini the previous weekend - this was a job well done.
VIDEO: Drobga's goal.
Ivory tower: Drogba celebrates
Barcelona 2-2 ChelseaOctober 31, 2006 - Group stage
The return fixture at the Nou Camp was more like the games of old. A night of theatre and tantrum kicked off with Rafael Marquez escaping unpunished after bringing down his studs on Michael Essien's groin.
Minutes later the game threatened to descend into a violent farce when Drogba barged into Thiago Motta before Marquez again got involved by shoving the Ivory Coast striker.
Meanwhile goals were flying in from former Chelsea-star Gudjohnsen and Deco while Lampard hit back for The Blues just after half-time.
Drogba rounded off another pulsating night with an injury-time leveler as he beat Marquez and thundered in a near-post belter.
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