Two more people have died and 66 new cases of Covid-19 were confirmed this evening.
The latest figures bring the total number of deaths to 1,652 and the total number of cases confirmed to 24,990.
The Department of Health announced the figures on Sunday evening.
It comes as the Government considers lifting the travel limit and a number of other lockdown restrictions three weeks earlier than planned.
The 5km rule, which is set to be extended to 20km on June 8, could be scrapped altogether by Phase Three on June 29.
Hairdressers, museums, galleries and swimming pools could all also reopen at the beginning of Phase Three.
Both Taoiseach Leo Varadkar and Chief Medical Officer Dr Tony Holohan have acknowledged that fast-forwarding Ireland's 'roadmap' to recovery was possibly.
But it will entirely depend on the number of Covid-19 deaths, new cases and ICU admissions in the next few weeks.
The Government has been coming under increased pressure from business lobby groups to let many organisations reopen earlier - by reducing the current 2m social distancing rule down to 1m.
And now, senior Government sources have confirmed that moving up the timeline for reopening many amenities is being considered, the Sunday Independent reports.
Meanwhile, Dr Tony Holohan said he would like to see Ireland’s re-opening accelerated – if the progress of the virus allows.