The head of Hamas' parliamentary bloc, Mahmud al-Zahar, raised the suggestions in talks with his Fatah opposite number, Azzam al-Ahmed.
"Dialogue should continue because we have begun to discuss the details of the political matters that divide us. So far, we have not reached an understanding," Mr Ahmed told reporters.
But Mr Ahmed had said that Hamas had not yet provided him with a draft accord that was agreed at a first meeting with Mr Zahar on February 22.
Hamas spokesman Salah al-Bardawil told the media that the talks focused on international issues and not domestic matters.
Mr al-Bardawil said that Hamas and Fatah were seeking a compromise that would "not be embarrassing either to Hamas or to Fatah".
Later, Palestinian Authority president Mahmoud Abbas met Hamas' prime minister designate Ismail Haniya one on one.
Nabil Abu Rudeina, a presidential spokesman, said that Mr Abbas indicated he was ready to grant Mr Haniya an additional two weeks to form a government despite rules under the constitution that require the formation of a government within three weeks.
Compromise sought
Hamas, blacklisted by the West as a terrorist organisation, has been given the task of forming the next government after defeating President Abbas’ Fatah party in the January 25 general election.
On February 22, Mr Ahmed said Fatah had accepted "in principle" to join a Hamas-led coalition as long as agreement could be reached on a common program.
But tensions were frayed in parliament this week with a slanging match between the two factions.
Fatah walked out of the chamber in protest, charging that the speaker, Hamas deputy Aziz Dweik, was "undermining all bases for agreement".
Mr Haniya has said the militant group would consult with other Palestinian parties, including Fatah, with a view to forming a national coalition. However, several Fatah officials oppose participation in the new government.