The First Minister told MSPs that officials are still working to delay the spread of Covid-19.
The patients are from the Forth Valley, Greater Glasgow and Clyde and Grampian areas.
A total of 137 people called NHS 24's 111 number, while another 584 called the general advice helpline.
The two new patients are based in Ayrshire and the Grampian area respectively, while the first was in Tayside.
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The health secretary told MSPs the Tayside-based patient is 'clinically well' in a hospital in Scotland.
Concerns have been expressed about major sporting events being held this year.
Health boards have the power to restrict the movements of anyone thought to be infected.
St Cuthbert's church in Hamilton set out their temporary guidelines on Monday.
The group after the first confirmed case of coronavirus in Scotland - a patient from the Tayside area.
No plans to cancel major events or large gatherings after first case confirmed in Scotland.
Scotland's first case of coronavirus has been confirmed but how does the situation affect you and what should you be doing?
First Minister Nicola Sturgeon spoke to STV News after the first confirmed case of coronavirus in Scotland.
The patient is a resident of the Tayside area and has recently travelled from Italy.
Nicola Sturgeon chairs Scottish Government resilience meeting following outbreaks in Europe.
New guidance affects people who have returned home since February 19 without symptoms.
STV employee Cecilie Corso was tested for Covid-19 by 'someone who looked like a Martian'.
The four-star H10 Costa Adeje Palace went into lockdown after an Italian man tested positive for the virus.
The number of people tested has increased by 24 since Monday - but all results were negative.