Belgium's star man David Goffin failed to make an impact against Australia in the first match, losing in straight sets to Alex di Minaur.
Whatever Croatia's Coric tried was quickly answered by Berrettini in the first match, who had been struggled early but won convincingly 6-7(4), 6-2, 6-1.
The first match of USA vs Great Britain was between Tommy Paul and Dan Evans, which saw the former win by a score of 6-4, 4-6, 6-4.
Australia's Alex di Minaur faced Belgian David Goffin next and picked up a straightforward 6-2, 6-2 victory.
Currently, the Great Britain team consists of Cameron Norrie, Daniel Evans, Andy Murray and Joe Salisbury.
The Dutch team comprises of three bright rising stars, Botic van de Zandschulp, Tallon Griekspoor and Tim van Rijthoven.
Although they are seeded last, the east Asian team is more than capable of disrupting the momentum of some of the bigger challengers.
The organisers refer to it as the "World Cup of Tennis," and the winning team is known as the World Champion squad.
The likes of Novak Djokovic, Andy Murray, Marin Cilic, Alexander Zverev, Carlos Alcaraz and several others will be a part of the historic ITF tournament.