UK Foreign Secretary James Cleverly and Northern Ireland Secretary Chris Heaton-Harris met European Commission vice-president Maros Sefcovic in London
James Cleverly said the party’s vice president Michelle O’Neill had been invited to attend.
The Ukrainian president also extended new year’s wishes to the people of Ireland.
Irish premier Micheal Martin said he looked forward to working with Mr Sunak.
Northern Ireland Minister Steve Baker was speaking at the British-Irish Parliamentary Assembly in Co Cavan on Monday.
Chris Heaton-Harris said politicians in Northern Ireland have choices they can make to stop an election being called.
Mary-Lou McDonald said if devolution collapses it will be replaced by a joint arrangement between the Irish and the British state.