Match ends, Malmö FF 1, Chelsea 2.
Chelsea claimed a narrow victory over Malmo in the Europa League after they were greeted with a rousing atmosphere in Sweden for the first leg of their last 32 tie.
Ross Barkley poked in a curling cross from Pedro to score in the first half.
Olivier Giroud flicked in the second after Willian cut the ball back having beaten his opponent in the box.
Malmo ensured it was a nervy ending for Chelsea as Anders Christiansen slotted home in the 80th minute.
Victory eases the pressure slightly on manager Maurizio Sarri who said his "job was at risk" after Chelsea were thrashed 6-0 by Manchester City in the Premier League on Sunday.
Chelsea remain unbeaten in the Europa League this season before the second leg at Stamford Bridge on 21 February.
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Relief for under-pressure Sarri
Sarri looked dejected on the sidelines as he watched Chelsea suffer their worst defeat in 28 years at Etihad Stadium.
It was their fourth loss in 10 games and meant they dropped down to sixth place in the Premier League - 15 points behind leaders Manchester City.
Victory was needed against a Malmo side who have qualified for the knockout stages of the Europa League for the first time.
There were signs of nervousness from Chelsea at the start of the match, Malmo winning two corners within the first minute and having a shot blocked by Jorginho in the box.
But the Blues became more comfortable as the game went on and when Giroud coolly doubled Chelsea's lead to score his fifth goal in the competition this season, Sarri could be forgiven for breathing a sigh of relief.
Chelsea made hard work of it in the end, though. Malmo threatened to equalise in stoppage time but as Sarri had stated before kick-off, his side "need targets in the short term" and victory of any kind was just that.
The wounded animal responds
Chelsea went into this tie as resounding favourites - Malmo coach Uwe Rosler said the "odds are 80 million turnover against 450 million turnover" before the match.
Rosler also expected a response from Chelsea after their mauling by his former club Manchester City, saying: "When a grizzly bear is wounded he's a very, very dangerous animal."
Sarri's side were certainly wounded but they were made to battle for their victory after Christiansen's late goal lifted the hostile atmosphere in Sweden for the last 10 minutes of the match.
David Luiz had earlier deflected away midfielder Arnor Ingvi Traustason's half-volley and Barkley was forced to make two headed clearances to deny Soren Rieks in the first half.
The hosts - who were encouraged by their fans to press and hassle the Chelsea back four - seemed to tire in the second half which was not surprising given this was their first competitive fixture since December.
But they regained a bit of spark at the end after Chelsea had missed opportunities to extend their lead. Barkley had a close-range effort tipped over the bar by goalkeeper Johan Dahlin before Pedro's curling effort was deflected narrowly wide.
Man of the match - Olivier Giroud (Chelsea)
'We were in control' - Sarri
Chelsea manager Maurizio Sarri told BT Sport: "I think we played a good match again a team who are very physical. We were scared a bit on set-pieces. We were in control of the match and we deserved to win with more goals.
"I am happy because we played with confidence and it wasn't really very easy after the last match. We conceded on a mistake and that can happen but the level of attention was really very good for 90 minutes so I am very happy.
"But we know we have to gain the qualification in the next match. I think I am always confident but sometimes we had the wrong approach with matches so we need to be careful in every match."
A first in six years - the best of the stats
- Chelsea have won the first leg of a European knockout tie for the first time since April 2013 against Basel in the Europa League (2-1). They were winless in six such matches prior to this victory (D3, L3).
- Malmo have been beaten at home in Europe for the first time since November 2015 against Paris St-Germain (5-0), ending a run of eight games without defeat in front of their own fans (W2, D6).
- Chelsea have kept just one clean sheet in their past 11 away games in all competitions - they had kept seven clean sheets in the 11 games prior to this run.
- Malmo have lost five of their six meetings with English sides (W1), though Chelsea are the first such team to beat them in Sweden since Liverpool in September 1967.
- Barkley scored Chelsea's first away goal in all competitions in 2019 - they haven't had to wait until February to score their first away goal of the year since 1997.
- Giroud is the first Chelsea player to score in four successive games in European competition since Victor Moses in May 2013.
Chelsea host Manchester United in the the FA Cup fifth round on Monday (19:30 GMT kick-off), three days before the return leg against Malmo at Stamford Bridge (20:00).
- 14ChristiansenSubstituted forGallat 82'minutes
- 8TraustasonSubstituted forLewickiat 70'minutes
- 23AntonssonSubstituted forStrandbergat 70'minutes
- 30David Luiz
- 5JorginhoSubstituted forKantéat 74'minutes
- 11PedroSubstituted forHudson-Odoiat 84'minutes
- 22WillianSubstituted forE Hazardat 71'minutes
- 10E Hazard
- Aleksey Kulbakov
- Shots on Target
Second Half ends, Malmö FF 1, Chelsea 2.
Eden Hazard (Chelsea) wins a free kick in the attacking half.
Foul by Rasmus Bengtsson (Malmö FF).
Andreas Christensen (Chelsea) wins a free kick in the defensive half.
Foul by Markus Rosenberg (Malmö FF).
Attempt saved. Olivier Giroud (Chelsea) left footed shot from a difficult angle on the left is saved in the centre of the goal. Assisted by Eden Hazard.
Attempt missed. Olivier Giroud (Chelsea) left footed shot from the left side of the six yard box is close, but misses to the left. Assisted by Eden Hazard with a cross.
Substitution, Chelsea. Callum Hudson-Odoi replaces Pedro.
Offside, Chelsea. Olivier Giroud tries a through ball, but César Azpilicueta is caught offside.
Substitution, Malmö FF. Romain Gall replaces Anders Christiansen.
Corner, Chelsea. Conceded by Søren Rieks.
Goal! Malmö FF 1, Chelsea 2. Anders Christiansen (Malmö FF) right footed shot from the centre of the box to the bottom left corner. Assisted by Markus Rosenberg with a through ball following a fast break.
Foul by N'Golo Kanté (Chelsea).
Anders Christiansen (Malmö FF) wins a free kick in the attacking half.
Substitution, Chelsea. N'Golo Kanté replaces Jorginho.
Ross Barkley (Chelsea) wins a free kick on the left wing.
Foul by Carlos Strandberg (Malmö FF).
Foul by Pedro (Chelsea).
Johan Dahlin (Malmö FF) wins a free kick in the defensive half.