Two Italians were injured in the attack, a Roman woman who is still in hospital and a Bolognese woman who was immediately discharged after suffering from minor bruises.
"We must further reinforce controls in the areas where people gather, as well as places which are noted for visitor influx," Minniti said following Italy's strategic anti-terror analysis committee (CASA) on Thursday.
The minister highlighted the need for increased security at Saturday's EU summit marking the 60th anniversary of the Treaty of Rome.
"The only way to combat the unpredictability is to control the territory," he stressed.
"We are faced with a threat that is taking on, ever more, the character of unpredictability: the times of reaction to the threat are being ever more reduced."
The centre of the Italian capital is already set to be in lockdown on Saturday amid fears that a EuroStop march may be infiltrated by extremists who will try to wreak havoc.
With ANSA