The 27-year-old Swepson, who had replaced left-arm spinner Ashton Agar in the side, after the latter suffered a calf-muscle injury, returned with figures of 1/21 in two overs.
India vs Australia: Hardik Pandya, Jasprit Bumrah pull one back for the visitors; Aussies win series 2-1
An in-form Hardik Pandya blasted 92 not out off 76 balls and Ravindra Jadeja's useful 66 off 50 took India to a healthy 302 for 5 in 50 overs after an inept show in the first 30 overs.
India vs Australia: Ashton Agar feels experience of outthinking batsmen during Sheffield Shield will come handy
The 27-year-old Agar had featured in both the limited-over formats for Australia last summer but missed his spot in the ODIs on their tour of England in September.
England vs Australia: Mitchell Marsh stars in Aussies' win in 3rd T20I as they retain top spot in rankings
England were without captain Eoin Morgan (dislocated finger) and fellow star batsman Jos Buttler, who was absent for personal reasons after making a match-winning 77 not out in a six-wicket victory on Sunday.
England vs Australia: Jos Buttler's quickfire 77 sees hosts win by six wickets to clinch T20I series
He faced just 54 balls, including eight fours and two sixes, with this innings becoming Buttler's highest score in a T20 international, surpassing his 73 not out against Sri Lanka at Southampton four years ago.
Shane Warne says spin bowling in Australia going downhill because of less match exposure to spinners
Warne, one of the greatest leg-spinners the game has produced, said there is a dearth of quality spinner who can fill in the shoes of Nathan Lyon and urged CA to ensure that states include a spinner in every Sheffield Shield game.
South Africa vs Australia: Heinrich Klaasen impresses with the bat as hosts sweep ODI series with six-wicket victory
Klaasen played a knock of 68 not out — to go with a century and another half-century in the series — which led South Africa to a comfortable victory despite Marnus Labuschagne's 108 for Australia against his country of birth
David Warner returned to the scene of the ball-tampering scandal and played a central role in a victory this time as Australia beat South Africa by 97 runs in the final Twenty20 to clinch the series 2-1 on Wednesday.
South Africa vs Australia: Hosts fined 20 percent of match fee for maintaining slow over rate in first T20I
South Africa were found to be one over short after time allowances were taken into account, which led to the fine
South Africa vs Australia: Hat-trick hero Ashton Agar reveals how chat with 'rockstar' Ravindra Jadeja inspired him
The 26-year-old Agar has revealed how a chat with Jadeja during Australia's ODI tour of India last month inspired him ahead of his match-winning performance against South Africa at the Wanderers
South Africa vs Australia: Visitors recall Mitchell Marsh, Glenn Maxwell for ODI, T20 series, Marcus Stoinis misses out
Marsh last featured in an Australian side in the Ashes series last September. He hasn't played an ODI since January 2018 or a T20 international since October 2018
India vs Australia: 'Style and substance', Twitter reacts to Virat Kohli and Co winning third ODI to clinch series
Rohit Sharma and Virat Kohli played sensational knocks of 119 and 89 respectively as India defeated Australia by seven wickets in the third ODI at the M Chinnaswamy Stadium. Here's how Twitter reacted to the win
India vs Australia: How Aaron Finch made optimal use of his bowlers to bring about Virat Kohli and Co's downfall
Australia's Finch never allowed the Indian batsmen to dominate the game by changing his bowlers in a coordinated fashion
India vs Australia, Highlights, 1st ODI in Mumbai, Full Cricket Score: Warner, Finch slam tons as Aussies go 1-0 up with 10-wicket win
India vs Australia 1st ODI Live Updates: It's over! Warner hits a boundary to take his team to the victory line. A 258-run opening partnership between Finch and Warner takes Australia to a comprehensive 10-wicket win in the first ODI. They take a 1-0 lead in the series. India have been completely decimated today. One of the worst losses ever.
India vs Australia: Pace spearhead Pat Cummins expects spinners to play big role in three-match ODI series
Australian pace spearhead Pat Cummins expects spinners of his team to play a bigger role in the ODI series against India even though he is not expecting dust-bowls during a limited-overs assignment.
Watch: Australian all-rounder Ashton Agar left a bloody mess while trying to take brother Wes's catch in domestic fixture
Ashton Agar was hit flush in the face while fielding at mid on by a ball smacked by younger brother Wes Agar during the Marsh Cup.
The Twenty20 World Cup is the only major piece of silverware missing from Australia’s trophy cabinet but the hosts are gearing up perfectly to end the drought next year, former wicketkeeper Adam Gilchrist has told Reuters.
Deepak Chahar jumps 88 places in T20I rankings after Nagpur heroics; Rohit Sharma remains India's top ranked batsman
With his world-record haul of six for seven against Bangladesh on Sunday, India fast bowler Deepak Chahar has moved up 88 slots to 42nd in the latest ICC T20I rankings for bowlers.
Pakistan were saved by the rain on Sunday as persistent showers halted a rampant Aaron Finch as Australia headed for victory in their opening T20 international.
Australia vs Sri Lanka: David Warner, Steve Smith half-centuries help hosts clinch series with nine-wicket win
Warner and Smith came together after Aaron Finch was caught down the leg side off Lasith Malinga for a golden duck, and the pair produced a batting masterclass