2017 ScheduleAll times ET
The demolition made Atlanta the first Italian side to score and win at Goodison and was only their second away win in Europe.
Everton's season, like their search for a manager, continues to drift.
Atalanta's Papu Gomez may not win a Ballon d'Or but a Golden Disk is just reward for his outstanding "Dance Like Papu" song, which went viral.
Mauro Icardi scored two headers to fuel Inter Milan, who jumped Juventus for second place with a 2-0 win over Atalanta.
Juventus let slip a two-goal lead, while Paulo Dybala also had a late penalty saved in a 2-2 draw with Atalanta.
Everton boss Ronald Koeman apologised to the club's fans after the dismal 3-0 Europa League defeat to Atalanta and stressed he was responsible.
Everton produced another hugely disappointing display as they were beaten 3-0 by Atalanta in their Europa League Group E opener in Reggio Emilia.
Italy international Leonardo Spinazzola has expressed his desire to leave Atalanta and return to Juventus.
Atalanta have completed their move for Middlesbrough midfielder Marten de Roon 13 months after selling him to the Teessiders for £12 million.
AC Milan's spending spree has continued with the capture of Italy under-21 defender Andrea Conti on a five-year contract.
AC Milan have made Ivorian midfielder Franck Kessie their second signing of the summer.
Kessie, 20, will undergo a medical on Tuesday and is reportedly set to sign a five-year contract.