Netherlands began life without Ronald Koeman on a positive note after seeing off Poland at the Johan Cruijff Arena.
Dwight Lodeweges was in charge on an interim basis after Koeman's departure to FC Barcelona last month.
The Dutch, who reached the final of this tournament last year, had to wait until the 61st minute for the game's only goal through Steven Bergwijn.
Italy began their campaign with a point after playing to a 1-1 draw with Bosnia-Herzegovina on Friday night.
Mancini raised eyebrows by leaving the European Golden Shoe winner Ciro Immobile on the bench for Andrea Belotti.
After a scoreless first half, it was the visitors who broke the deadlock on 57 minutes through AS Roma star Edin Dzeko.
Mancini's charges did manage to pull level 10 minutes later through Stefano Sensi, who was set up by Lorenzo Insinge.
Norway 1-2 Austria
Romania 1-1 Northern Ireland
Scotland 1-1 Israel
Slovakia 1-3 Czech Republic
Lithuania 0-2 Kazakhstam
Belarus 0-2 Albania
