An answer will be given on Tuesday by the state health services organisation Okypy to medical staff who went on strike last week, Health Minister Michalis Hadjipantela said on Sunday.
He said there will also be further consultations with the unions and if necessary the health ministry will intervene.
Members of Sek, Peo, Deok, Pasydy, Pasyki and Pasyno went on a two-hour warning strike on Tuesday demanding that Okypy stick to collective agreements rather than hiring people on individual contracts.
They threatened to step up measures while Hadjipantela said solutions would only be found through dialogue.
Asked on Sunday about progress, Hadjipantela said the Okypy proposal is ready and will be given to unions on Tuesday.
He said he expected the unions to study it carefully before moving towards further discussions if necessary.