The 21-year-old, who won Olympic welterweight silver at London 2012, fought for the first time in the series during the second set of matches as Britain welcomed Italy to Newport.
Evans got off to a successful start as he beat Michel Tavares and he repeated the trick second time out defeating Vjaceslav Kerber in the middleweight contest as Britain downed Germany 4-1.
Fellow Welshman and Olympian Andrew Selby followed suit in winning his second fight after also making his debut against Italy where he edged past Daniele Limone.
Selby beat bantamweight Redouane Asloum prior to Evans' victory while before that Joseph Ward had defeated light heavyweight Satula Abdulai by TKO after Britain lost their first fight.
Lightweight Samuel Maxwell lost a split decision to David Oliver Joyce but victories from Ward, Selby and Evans secured the overall victory for Britain before Joseph Joyce added the icing on the cake.
He beat heavyweight Philipp Gruner to make it 4-1 and ensure Britain responded well to losing 5-0 to Kazakhstan in Almaty and who they sit behind in second in the Group B standings.