Kohli has established himself as the world’s best over the past 12 months, and his latest effort saw him set a new standard for Indian batsmen abroad.
Rahul Dravid had previously held the record by plundering 1,137 runs from 11 matches in 2002, but Kohli moved past that with a patient knock in Melbourne.
His 82 took him to 1,138 - also from 11 outings - and he will likely have another chance to add to that total in the second innings of the third Test.
Kohli averages 54.19 away from home in 2018, with four hundreds, five half-centuries and a top score of 153.
South Africa’s Graeme Smith holds the record with 1,212 runs from 11 games in 2008, with Viv Richards the only other man above Kohli after scoring 1,154 in just seven Tests in 1976.
Kohli’s efforts helped India to 443-7 before he decided to declare, with Australia 8-0 at the close.
Kohli’s record-breaking 2018:
South Africa v India, first Test, Newlands: 5 and 28
South Africa v India, second Test, SuperSport Park: 153 and 5
South Africa v India, third Test, the Wanderers: 54 and 41
England v India, first Test, Edgbaston: 149 and 51
England v India, second Test, Lord’s: 23 and 17
England v India, third Test, Trent Bridge: 97 and 103
England v India, fourth Test, Rose Bowl: 46 and 58
England v India, fifth Test, The Oval: 49 and 0
Australia v India, first Test, Adelaide Oval: 3 and 34
Australia v India, second Test, Perth Stadium: 123 and 17
Australia v India, third Test, MCG: 82
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