The Italian Cup final,originally scheduled for that date,has been pushed back a week to May 20.
The Serie A matches had been due to go ahead behind closed doors after the government banned public gatherings in an effort to slow the spread of the virus.
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The decision,taken by league officials at midday on Saturday,brought a mixed reaction from coaches involved.
"Football is about the fans,it's enthusiasm,passion,emotion,which is not there when you play behind closed doors,"AC Milan coach Stefano Pioli said.
"I'm glad we are not playing but they could have decided earlier."
Roma coach Paulo Fonseca said a decision should have been made that affected all clubs and not just some.