The striker has struggled to make an impact under Jose Mourinho so far this term but produced a timely reminder of his capabilities with a tap-in that broke the League One side's resistance on the half hour.
The Spain international had missed a gilt-edged chance just moments earlier but reacted well to slide home the rebound after Juan Mata's shot was well saved by Wes Foderingham.
Torres was visibly buoyed by his strike and just six minutes later he turned provider, bamboozling two defenders with a sublime drag back before slipping a slide-rule pass into Ramires who dinked a delightful finish over the keeper.
It was enough to see off a young Robins side who made a real fight of it in the second half and had a goal chalked off when Dany N'Guessan nodded in from an offside position.
Willian and Torres then missed opportunities to add to the margin of victory on a night when all eyes were on Mata, who was handed only his third start under Mourinho.
The Blues boss made no secret of the fact he was using the game to cast his eye over players he wanted to see more from and he would have been pleased with how his team performed after he made 10 changes from the one that beat Fulham at the weekend.
It wasn't a perfect night for Chelsea, however, as young Dutchman Marco van Ginkel and his replacement, Ramires both limped off injured.
PRE-MATCH - Mata and Luiz start - As expected Mourinho gave the out of favour duo a chance to audition for a place amongst his trusted pool of players. The Blues boss made 10 changes to the team that beat Fulham 2-0 at the weekend as he looked to give his fringe players some minutes on the pitch.
10' INJURY BLOW - Marco Van Ginkel limps off and is replaced by Ramires. A real blow for the young Dutchman who would have wanted to make an impression after being handed a rare opportunity to shine.
27' GREAT SAVE! Chelsea finally carve Swindon open as Mata sends Torres clear on goal. The striker takes a touch and fires in a shot that Foderingham saves with his face. Wonderful goalkeeping.
29’ GOAL – Swindon 0-1 Chelsea. Torres taps home from a narrow angle after Mata's low shot was brilliantly pushed away by Foderingham. Unlucky for the Robins keeper.
35' GOAL - Swindon 0-2 Chelsea. Torres wriggles away from two and plays a sublime ball in behind for Ramires who clips a lovely finish over the keeper and into the top corner.
46' MORE INJURY WOE - The scorer of Chelsea's second, Ramires is forced off with a knock while Swindon's top scorer Nile Ranger is also replaced after picking up an injury in the first half.
51' DISALLOWED GOAL - Swindon go close as McEveley whips a free-kick in from the right and N'Guessan rises to thump a header home. However, his celebrations are cut short by the sight of the flag. He was a fraction offside. unlucky for the League One side.
70' BIG MISS - Chelsea carve Swindon open with a flowing counter attack. Torres is played clear and sees his low shot well saved by Foderingham. Willian picks up the rebound but smashes his shot high into the stand. That was wild from the £30 million man.
90+1' CLOSE - Wonderful play by Torres who dances beyond a plethora of challenges and almost rounds the keeper before Willian fires a shot against a Swindon leg on the line. It should be three. Great play by Torres who has been impressive throughout.
Mark Schwarzer became Chelsea's oldest ever debutant and marked it with a clean sheet.
Chelsea have now won their last six matches against Swindon Town.
Michael Essien captained the Blues for the first time ever in a competitive match.
Swindon suffered their first home defeat since a 1-0 reversal against Bury on February 26.
TALKING POINT: With all eyes on Juan Mata, it was another Spaniard who stole the limelight. Torres may well feel he hasn't had a fair crack of the whip under Mourinho but this display won't have done his chances of a run of matches any harm. But did Mata do enough to impress his manager? The jury is out.
MAN OF THE MATCH
Fernando Torres (Chelsea): A vibrant display by the Spain striker who tucked home the opener before teeing up Ramires for a sublime second goal. That was more like the forward who terrorised defences during his time at Liverpool. Now the challenge is to repeat it consistently in the Premier League.
PLAYER RATINGS -
Swindon: Foderingham 8, Thompson.N 6, Hall 6, Ward 7, McEveley 6, Kasim 7, Luongo 6, Pritchard 7, Ajose 6, Ranger 6, N’Guessan 6. Subs: Thompson 6, El-Gabbas 6.
Chelsea: Schwarzer 7, Azpilicueta 6, Luiz 6, Cahill 6, Bertrand 6, Essien 6, Van Ginkel 5, De Bruyne 6, Mata 7, Willian 6, Torres 8. Subs: Ramires 7, Terry 6, Ba 6.