At least one person is reported injured in the quakes, that Italy's national geophysics institute says are linked to the deadly August earthquake.
Amatrice town council says the Charlie Hebdo cartoons "amount to a macabre, tactless and inconceivable insult to the victims of a natural catastrophe".
Family members mourn as state holds national funeral service for deceased victims of the 6.2 magnitude earthquake that hit the country on Wednesday.
Around 5,400 rescuers including volunteers are working hard in central Italy after an earthquake leaves many trapped under ruins.
Mayor of Amatrice, one of the worst-hit areas, says "three quarters of the town is gone" as reports of widespread damage come in.
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