Taoiseach Brian Cowen is to meet Prime Minister Gordon Brown in Downing Street on Monday to try to break the political stalemate over the devolution of policing and justice.
Sinn Fein's Martin McGuinness is due to meet Mr Cowen in County Offaly on Saturday.
On Thursday Martin McGuinness and Peter Robinson were at loggerheads after separately meeting Gordon Brown in Downing Street in an attempt to solve the row over the transfer of powers.
The Deputy First Minister said he told Prime Minister Gordon Brown that the DUP was in breach of the agreements that established the power-sharing government.
Mr McGuinness said the current DUP leadership was raising "preposterous" preconditions to block a deal on devolving policing and justice powers to the Assembly.
Subsequent claims by DUP leader Peter Robinson that it was Sinn Fein that was delaying a deal were denied by Mr McGuinness.
First Minister Peter Robinson has said he will only agree to a deal on devolution when his party believes there is sufficient public confidence in the move.
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