Asked about Mr Trimble's difficulties, within the Ulster Unionist Party, Mr Hume said: "He is clearly in a position to implement the agreement in all its aspects".
Speaking at Government Buildings (FRI) before a meeting with the Taoiseach, Mr Hume said he was confident difficulties could be resolved in September, when the atmosphere in the North was always better than during the marching season.
Asked about Mr Trimble's difficulties, within the Ulster Unionist Party, Mr Mr Hume said: "He is clearly in a position to implement the agreement in all its aspects".