The European Commission says the controversial EU-IMF troika supervising Greek finances could be replaced.
The troika is a group of auditors representing the Commission, the European Central Bank and IMF.
They carry out regular checks to see if Greece is sticking to its commitments under the EU-IMF bailout agreement.
Greece's new left-wing government does not accept the troika's agenda. Instead it aims to renegotiate the bailout, to get a huge reduction in Greece's debt.
At a news conference on Monday, the Commission chief spokesman, Margaritis Schinas, quoted a pledge by Commission President Jean-Claude Juncker to replace the troika.