Stirling Council has closed key car parks and Cairngorm National Park is urging people not to travel.
The league is holding separate conference calls with Premiership, Championship, League 1 and 2 clubs.
The Celtic boss says sport is secondary to the human cost of coronavirus.
The two new patients are based in Ayrshire and the Grampian area respectively, while the first was in Tayside.
Poultry farmers in Scotland have been urged to promote biosecurity after bird flu was confirmed in a free range laying flock.
Some 26 people have been tested for the virus in Scotland but none have been positive.
As of Sunday, more than 50 people across the UK have been tested for the deadly flu-like virus.
Another nine people across the UK have also tested negative, it has been announced.
Sophia Smith was just two weeks old when she died after contracting MRSA at the QEUH.