Veiga was one of several Chelsea players who were told to look for a new club this summer, despite having only joined the team from Basel just a year ago.
During the first half of the season, Veiga found himself with limited playing opportunities, which led to him asking for a loan move in January. He eventually ended up at Juventus, where he made a positive impression by making 15 appearances across all competitions.
According to recent reports, Veiga has given his consent to join Atletico Madrid, and the two clubs are now negotiating the details of the transfer, including a reported €40 million fee with additional terms.