36-year-old Malouda, leading the Delhi side, continued his impressive performance as he struck the home side's second and the fourth goal in the 25th and 85th minutes respectively while he made the assists in the other goals scored by Richard Gadze (15th) and Kean Lewis (54th) in front of 15,000-odd crowd at the Jawaharlal Nehru Stadium. It was also the first time Malouda scored this season.
Chennaiyin captain Bernard Mendy scored his side's lone goal in the 37th minute.
Delhi had also beaten Chennaiyin 3-1 in the first leg in Chennai on October 6.
For Chennaiyin, whose coach Marco Materazzi made as many five changes from their last match playing eleven, this was their second loss in the tournament and first in an away match this season. They seemed to miss the inspiring presence of former Liverpool defender John Arne Riise at the deep defence. Riise, who was recovering from an injury, came in the 83rd minute but by that time, the game was as good as over.
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Playing their fifth home match, the Gianluca Zambrotta-coached Delhi side were clearly the better side with a lot more possession, distribution of the ball with neat passing while Chennaiyin played aimlessly for most part of the match.
In the second half, they played with more purpose and attacking intent after the introduction of India striker Jeje Lalpekhlua but failed to score.
Delhi suffered a jolt as early as the fourth minute as right stopper Chinglensana Singh had to be replaced by LalchhawnKima due to injury. First choice Chinglensana's injury did not make any difference as the back four of Ruben Rocha, Anas Edathodika, Souvik Chakrabarti and LalchhawnKima did a good job all through the match.
Ten minutes later, it was the turn of Malouda to make it 2-0 for Delhi and this time Gadze was the supplier. Malouda sent a low and curling left-footer which beat a diving Chennaiyin goalkeeper.
With a 2-0 lead, it seemed that Delhi would take total control of the match and add more misery to Chennaiyin but the visitors struck back in the 37th minute with the hardworking Bernard Mendy pulling one back for his side. The Chennaiyin captain and former France international dodged past two Delhi defenders in a solo run and unleashed a powerful right footer from the top of the box which gave no chance to a diving goalkeeper, Antonio Doblas.
The visiting side made some desperate efforts to find the Delhi net but could not create the chances in the second half except for a golden chance handed to Jeje who shot over in the 70th minute.