AZ held on to a 1-0 lead to beat Legia Warsaw in their second Conference League group match on Thursday night.
The team from Alkmaar lost their first game against Zrinjski Mostar last week 3-4 after giving away a 3-0 lead.
The narrow win means Alkmaar is back in the Group E competition, where all the teams currently have three points. AZ next meet Aston Villa on October 26.
There was some crowd trouble both before and after the game and one Dutch riot police officer was reportedly knocked out.
After the match, there was also an incident involving the Legia Warsaw bus. Details of what happened are still unclear but according to Polish media two Warsaw players were arrested after an altercation in which team owner Dariusz Mioduski was hit by a Dutch police officer.
Ajax, playing away, were stuck 1-1 against AEK Athene in their Europa League tie but coach Maurice Steijn said after the game the squad was improving.
“We have a team,” he said. “We all know the start of the season has been difficult… and I am happy to see progress… calm is returning to the club.”
Ajax, who finished third in the Eredivisie last season, have had a disastrous start to the domestic competition and are currently languishing in 15th place with two games in hand.
Some Ajax players complained after the game about the lasers directed at them by the Greek supporters. “There were hundreds of them directed at Steven [Bergwijn] when he was taking the penalty,” defender Devyne Rensch said.
Ajax next meet English side Brighton away on October 26.
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