Koeman left his post as head coach in August to take over the reigns at LaLiga giants Barcelona, with his former assistant Dwight Lodeweges promoted to interim boss.
Lodeweges' side were good value for all three points from their opening Nations League Group B4 game, taking the lead shortly after the hour courtesy of Steven Bergwijn's first international goal.
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New Manchester United signing Donny van de Beek was introduced after that, but he was unable to inspire the hosts to another goal their superiority deserved.