Alarmed by the spread of the virus across Europe and in parts of the neighbouring Balkans, the Greek government announced an array of preventative measures on Tuesday.
The World Health Organization has said the world should do more to prepare for a possible coronavirus pandemic.
The WHO said it was too early to call the outbreak a pandemic but countries should be “in a phase of preparedness”.
A pandemic is when an infectious disease spreads easily from person to person in many parts of the world.
More cases of the virus, which causes respiratory disease Covid-19, continue to emerge, with outbreaks in South Korea, Italy and Iran causing concern.
However, most infections are in China, the original source of the virus, where more than 77,000 people have the disease and over 2,600 have died.
More than 1,200 cases have been confirmed in about 30 other countries and there have been more than 20 deaths. Italy reported four more deaths on Monday, raising the total there to seven.
The virus that causes COVID-19 has now spread to 29 countries.