Secretary of State for Northern Ireland James Brokenshire is to meet the five main parties at Stormont on Monday.
Minister for Foreign Affairs Simon Coveney has engagements in Brussels on Monday but he will be in Belfast on Tuesday.
The Irish and British administrations are continuing to assess if there are grounds to formally convene negotiations about the future of power-sharing.
The devolved administration collapsed last January, following a row between the two main parties, the DUP and Sinn Féin.
In early July negotiations involving the five main parties and the British and Irish governments were suspended without an agreement.
On Thursday, Democratic Unionist Party leader Arlene Foster proposed restoring the Stormont executive immediately, but this was rejected by Sinn Féin.
The DUP offered to bring forward legislation on contentious issues, including Irish language provisions, within an agreed time if the Executive was restored.
But Sinn Féin described this as "an offer the DUP knew would be refused" and reiterated its position that a stand-alone Irish language act must be provided as part of any deal to bring back devolved government.
Sinn Féin claims the DUP has failed to embrace principles like equality and respect. Democratic Unionists argue that any deal should not be one-sided and devolution should be immediately restored to protect faltering health and education systems.