Mr Macron is due to discuss the crisis with Italian Prime Minister Giuseppe Conte in Naples.
In Italy 528 people are infected and 14 have died, officials say, amid global efforts to stop the virus spreading.
Germany is also facing an epidemic, Health Minister Jens Spahn has said.
Italy registered a 25% surge in coronavirus cases in 24 hours, and the infections remain centred on outbreaks in two northern regions – Lombardy and Veneto. But a few cases have turned up now in southern Italy too.
Thirty-seven people have now recovered in Lombardy, civil protection chief Angelo Borrelli said.
Italy’s Foreign Minister Luigi Di Maio told reporters that an “infodemic” of misleading news abroad was damaging Italy’s economy and reputation. He said all the infections in Italy could be traced back to the two outbreaks in the north.