The two new cases were infected in Italy and the first case, announced last week, picked up the infection in Tenerife.
Public Health England is contacting people who had close contact with the latest confirmed cases of COVID-19.
Dr Fu-Meng Khaw, Centre Director, Public Health England East Midlands, said:
“Public Health England is contacting people who had close contact with two of the latest confirmed cases of COVID-19. The cases are residents of Derbyshire and became infected whilst in Italy.
“Close contacts will be given health advice about symptoms and emergency contact details to use if they become unwell in the 14 days after contact with the confirmed case/s. This tried and tested method will ensure we are able to minimise any risk to them and the wider public.”
Our Director of Public Health, Dean Wallace said:
“I’d like to reassure people that the risk to the general public remains low and the local authority is working with health colleagues to do everything we can to stop the virus spreading and ensure the people of Derbyshire are protected.
“Good hygiene is the best prevention and there are some simple steps you can take to protect you and your family by washing your hands regularly and thoroughly and if you cough, cover your mouth and nose with a tissue.
“If you have recently been to one of the affected areas and are feeling unwell, you should phone the NHS 111 helpline for further advice straight away – please don’t go to your doctor or a hospital."
View the latest latest information and advice on Coronavirus including the affected areas.
There’s also lots of advice on how you can protect yourself from the Coronavirus on the NHS website.