"Italian government and local authorities are working very hard to keep us updated and safe," Castelluccio said.
"They have issued some basic hygiene warnings on coronavirus and keep us constantly informed, which is a double-edged sword, if you ask me - we hope for the best but prepare for the worst."
"People are getting frantic" about the situation, Castelluccio said.
Elsewhere, in the Piedmont region in north Italy, hockey player/coach David Green said the competition they were in had been stopped until April 3.
The team was forced to play with gates closed to the public and no more than nine people to a changing room over the weekend.
"We obviously travel all over Italy to play and I also travel to coach the team, so I'm pretty much stuck at home," he said.
"My partner has got approval to work from home until the 30th of April. Town is pretty quiet, supermarkets shelves are getting low."
People in, or planning to head to the region of Lombardy (Lombardia), which includes the cities of Milan, Bergamo and Como.
The provinces of Modena, Parma, Piacenza, Reggio nell'Emilia, Rimini, Pesaro, Urbino, Alessandria, Asti, Novara, Verbano-Cusio-Ossola, Vercelli, Padova (Padua), Treviso and Venezia (Venice) were also included.
Where should increased caution be exercised?
Everywhere else in Italy, people should exercise increased caution, due to the threat of terrorism, Covid-19 and associated health risks.