The meeting, which took place in Hering, ended with a score of 4: 0 in favor of the guests.
The victory for Atalanta was brought by goals from Duvan Zapata, Alejandro Gomez, Luis Muriel and Alexey Miranchuk, who entered the field in the 81st minute and scored in the 89th.
The Russian midfielder missed the start of the season due to injury and entered the field for the first time with a club from Bergamo.
In the second round, Atalanta will host Ajax Amsterdam at home, while Midtjylland will play away with English Liverpool.
Earlier it was reported that Shakhtar beat Real Madrid in the Champions League match in Madrid.