Jesse Lingard's maiden worldwide goal secured victory for England, who are next in action against Italy on Wednesday (AEDT).
'When we arrested that group it became quiet in the red light district.
"So, anything else that takes away from that performance for them would be a great shame". "The last 8 are still being questioned, mainly for violence against police officers", the Amsterdam police said in a tweet.
Police detained the England fans for offenses including public disorder.
In a statement released on Twitter, the FA confirmed they will work alongside the UK Football Policing Unit in an attempt to identify those involved.
Josh Mahoney, 23, is in Amsterdam with family for his first England game and told the Press Association the police were "very heavy handed".
England fans are preparing to travel to Russian Federation for the World Cup this summer after violent clashes between the two countries' supporters at Euro 2016 in France. "We had been in there several hours with no trouble at all".