Croatia deducted a point in Euros for swastika gaff
Uefa also fined the Croatian Football Federation (CFF) 100,000 Euros (£70,000) and ordered their next two games to be played in an empty stadium.
Croatia are also barred from holding qualifiers in Split, which hosted the 1-1 draw with Italy on 12 June.
The CFF claim the incident was an act of "sabotage" and can appeal.
Croatia remain top of Group H, a point above Italy, even with the deduction.
The top two teams from each group automatically qualify for next summer's finals in France.