Dr Eke abstained during last week's no confidence vote that was brought against 'Akilisi Pohiva.
The vote was defeated 14-10 but the Finance Minister's actions appear to have surprised Mr Pohiva.
RNZ reports the Cabinet held a special meeting this morning and discussions are continuing.
Mr Pohiva indicated he wouldn't make any comment on the matter until a decision is made.
Photo:Prime Minister of Tonga, 'Akilisi Pohiva
