Some Israeli soccer fans said they were ordered to show their passports when they were attacked.
Gal Binyanmin Chuva, 29, told the BBC he was attacked outside a casino on Wednesday after watching another football match.
“We encountered about 20 people who ran towards us. They asked me where I was from and I said I was from Greece. They said they didn’t believe me and asked me to show my passport.
When he told them he didn’t have it, the men beat him, knocked him to the ground and kicked him in the face, Mr Tshuva said.
“I don’t remember anything after that and I woke up in the ambulance with blood on my face and realized I had two teeth knocked out.”
Britons Aaron and Jacob, who are Jewish, told the BBC they went to the match but left early.
Afterwards, they said they saw the men shouting anti-Semitic threats and chasing the Israeli. They intervened, helped the man up and went to leave.
Soon after, the group asked the men if they were Jewish, and Aaron replied that they were British.
“But they said ‘you helped a Jew’ and he punched me in the face and broke my glasses,” Aaron said.
“I was bleeding and I have a bruised eye. I’m fine, but a little shaken.’
The BBC has seen a photo of Aaron with a bleeding nose, swollen eyes and other facial cuts.
Esther Voet, editor-in-chief of a Dutch Jewish weekly newspaper, lives in the city center. She says she offered her home to Israeli fans after seeing footage of the violence.
“I told them this is a Jewish home and you are safe here,” she told Israel’s Kann public broadcaster. “People were very scared. I never thought I would experience this in Amsterdam.”
Dutch police said Israeli fans suffered “severe abuse” during the “hit and run”, many of which were carried out by youths on scooters.