A fan of Liverpool was hospitalized with facial injures after getting involved in clash with other English fans just hours before the Champions League final, police said.
Hospital officials said the man's injuries were not serious.
Authorities on Wednesday also announced the arrest of a 27-year-old English man accused of selling 28 forged tickets for EUR58,000 (US$78,000) for Wednesday night's final between AC Milan and Liverpool.
The incidents were reported amid massive security, with 8,500 police deployed at the Olympic Stadium, city center and airport and another 6,500 in a support role.
Police reported no other trouble among tens of thousands of English and Italian fans in central Athens.
In the port town of Rafina, near Athens, an English fan told police a taxi driver drove off with his luggage and match ticket after he refused to pay EUR95 (US$125) for a ride that should cost less than EUR25 (US$33).
Russian President Vladimir Putin and German Chancellor Angela Merkel had had a few fights and used strong language because of the Ukrainian crisis in 2014