First Minister Mark Drakeford today said Gwynedd was being closely monitored due to rising Covid cases and that evidence "on the ground" in Gwent showed hospitality is not linked to a spike in cases.
Mr Drakeford was speaking at the coronavirus briefing in Cardiff as overall Covid case numbers rise in Wales.
He was asked whether hospitality could be closed down in parts of Wales, as has been done in Scotland, and is proposed for areas of England.
This comes ahead of a statement from chancellor Rishi Sunak in which he is expected to offer additional support to sectors impacted by local lockdowns.
Mr Drakeford said: "If we were to see in Wales areas of coronavirus rising because those cases were traced to hospitality businessed and that was why numbers were rising we would of course take action to deal with that.
"It is really important that actions match the cause of the problem."
Talking about conversations with police in Gwent, he said: "The evidence on the ground is that the numbers that are rising are not being caused in hospitality businesses.
"So we will take action in relation to hospitality where the evidence tells us that is the cause of the problem.
"If we need to take action we will use a repertoire of measures including the measures you have seen in Scotland and some of the ones being trailed for across our border in England.
"We will then need to draw on the same stream of funding that the chancellor is about to announce for businesses in England so we can support businesses in Wales in the same way."
He confirmed he would not be lifting travel restrictions as figures rise despite anger in North Wales about the impact on tourism and hospitality.
Talking about Gwynedd, he added: "We are closely monitoring the position in Gwynedd in North Wales.
"There are no local restrictions in place but cases have been rising rapidly in Gwynedd as well.
"We are working closely with a local incident management team, including the local authority to understand what is driving those figures better and to consider whether further measures are needed to control the spead of coronavirus in that part of north west Wales as well."
