Timmermans wrote on his Facebook page that those involved may call themselves fans of the club, Feyenoord, but only show signs of “barbarism and bad manners”.
“This behaviour has no place in football,” he said, adding that Rome has been his second home for more than 40 years and that his thoughts were with “the police officers and residents” there.
Six more Feyenoordfans were arrested after clashing with police in Rome's Piazza di Spagna on Thursday ahead of a Europa League game against AS Rome that evening.
The six, accused of resisting a police officer and causing injury, are being held at Regina Coeli prison, Ansa reported.
The fans, many of whom had been drinking heavily in the Rome sunshine, hurled smoke bombs and other projectiles at a large contingent of police the square
The area was left strewn with bottles, cans and other detritus, while its famous Barcaccia fountain was severely damaged.
A further 19 were charged on Thursday after rampaging through Campo de ‘Fiori on Wednesday night, Ansa said.