The Islamic State (IS) group has claimed responsibility for the attack in which over 133 people were killed when gunmen went on a rampage and started a huge blaze during a concert at the Crocus City Hall.
Russia has linked Ukraine to the attack, while giving no substantial evidence to back this claim.
President Vladimir Putin said Saturday that four gunmen Moscow arrested were trying to get to Ukraine.
Kyiv has said it had nothing to do with the attack.
“One must always be calm and prudent, even after the terrible terrorist attack in Moscow, and work to avoid an escalation,” Tajani said at an event in Potenza.
His comments came as a response to a question about Poland complaining of a breach of its airspace by a Russian cruise that missile fired at towns in western Ukraine.
“So, I believe considerations must be made that push all parties towards prudence,” Tajani continued.
“We must invite Russia not to exploit the attack.”
ANSA