The Executive has asked for more information on the 'bubble' concept as Northern Ireland continues to ease out of the Covid-19 lockdown.
It is seen as a means of reuniting friends and family.
First Minister Arlene Foster said that ministers will discuss the social bubble idea on Thursday after asking Stormont officials for advice.
But what is the bubble concept?
A bubble is defined as a group of people who will have close physical contact.
In this case, people from one household would be allowed to spend time with those from another household.
Members of the bubble would also be able to visit one another in their homes. However, if one person in the bubble develops Covid-19 symptoms, then everyone in that group must self-isolate for two weeks.
If two households decided to use the bubble concept, neither group would be allowed to visit a third household, in order to limit the risk of spreading the virus.
Belgium, Germany and New Zealand have already introduced their own versions of a social bubble to help people battle isolation and possible mental health issues.
In New Zealand, people are permitted to meet close relatives and friends, while in Belgium every household is allowed to invite up to four guests into their homes.
Germany has also adopted the strategy of allowing two different households to visit each other's homes.
Each country has stressed that the social bubbles must be exclusive and no one can meet anyone from outside of their circle.
Elsewhere, Guernsey households can socialise with members of one other home, while the Scottish government is considering introducing the idea.
New Zealand Prime Minister Jacinda Ardern has been praised worldwide for her country's response to the virus, where she worked closely with director of public health, Bushmills-born Dr Caroline McElnay, as it lifted almost all of its restrictions on Monday.
Under new rules, social distancing is not required and there are no limits on public gatherings, but borders remain closed to foreigners.
New Zealand has reported no new Covid-19 cases for more than two weeks.
After going into lockdown on March 25, New Zealand's government set up a four-stage alert system - beginning at level four.
The country then moved to level two in mid-May and introduced the bubble concept.
After moving into level one, schools and workplaces can open, while weddings, funerals and public transport can resume without any restrictions.
New Zealand recorded 1,154 confirmed cases and 22 deaths.