Irish Taoiseach Micheal Martin spoke to Prime Minister Boris Johnson by phone on Tuesday.
In a tweet after the call, Mr Matin said: “We both agreed on the need to see the NI Executive formed as soon as possible.
“On the Protocol, I stressed need to intensify EU and UK discussions, and to avoid any unilateral action.”
It comes as the Foreign Secretary will reportedly move as soon as next week to ditch parts of the protocol after giving up on Brexit negotiations with the EU.
The Times reported officials working for Ms Truss have drawn up draft legislation to unilaterally remove the need for checks on all goods being sent from Britain for use in Northern Ireland.
The law would also ensure businesses in Northern Ireland are able to disregard EU rules and regulations and remove the power of the European Court of Justice to rule on issues relating to the region.
The bill would override the protocol agreed in 2019 and mean the UK had breached its obligations under the Brexit agreement.
Ms Truss is understood to have concluded talks with the EU and has been told the proposed law could lead to a bitter trade war with the bloc.
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