Think tank report outlines failures leading to coronavirus-related deaths in care homes across the country.
Former PM is urging Scottish and UK governments to convene virtual summit on test, trace and isolate strategy.
Coronavirus testing in Scotland has also been extended to anyone over the age of five with symptoms.
HC-One said it had recorded 1002 confirmed or suspected cases of Covid-19 within its 56 homes in Scotland.
The Care Inspectorate has applied to sheriff court to cancel the registration of the HC-One-owned Home Farm Care Home.
A total of 1438 deaths involving Covid-19 in Scotland have taken place in care homes.
More than 30 organisations in Scotland have urged ministers at Holyrood and Westminster to do more to help.
30 residents and 27 members of staff have tested positive for coronavirus at Home Farm care home on the Isle of Skye.
Speaking at First Minister's Questions, Richard Leonard said his uncle had died in a care home with the virus.
It follows weekly figures which show a third of deaths involving Covid-19 occurred in care homes.