Groups of hooligans attacked fans, irrespective of their nationality, and pelted the police with missiles, while there were further clashes during a Russian march up to the stadium.
The tournament organisers said they will let the relevant authorities deal with those individuals who were arrested and charged, and reiterated its desire to be a discreet presence.
A statement from the organisation read: "Uefa's philosophy is to create a welcoming environment coupled with a low-profile approach to policing.
"The focus should be on facilitating the enjoyment of the matches by genuine football fans and isolating the tiny percentage of troublemakers. Uefa is in a constant dialogue with the public authorities in order to achieve this aim.
"Uefa is determined that the overwhelmingly peaceful and festive atmosphere that has so far pervaded at Euro 2012 will be continued right up to and including the final in Kiev on July 1."