The Popular Front to the Liberation of Palestine (PFLP) has urged Hamas on Wednesday to give up the control of Gaza Strip which seized in June after routing President Mahmoud Abbas' Fatah.
Jamil al-Majdalawi of the PFLP said in a statement distributed in Gaza that Hamas should also hand back security compounds and the facilities of the Palestinian National Authority (PNA) to Abbas.
After it seized Gaza, Hamas seeks talks with Abbas but the Palestinian President refuses, insisting that the Islamic movement must retreat "the coup" it staged against his forces.
The dialogue are important for Hamas which is now responsible for the Palestinian people of Gaza but Abbas is not in a hurry since the government he formed after sacking Hamas rules from the West Bank and enjoys international support.
Meanwhile, al-Majdalawi has rejected Hamas' decision to ban public rallies and demonstrations unless they are authorized by Hamas rulers.
Earlier in the week, Hamas' executive forces have crushed a peaceful sit-in held by Palestinian Liberation Organization (PLO) in Gaza to protest against what they called Hamas' crackdown on personal freedoms.
But on Wednesday, Hamas announced modification on the decision, excluding the "national rallies against the Israeli occupation" from the need to take permission in advance.
However, "if the demonstration was meant to protest against internal matters, the executive forces should be notified to provide protection to the participants and arrest rioters," a Hamas official said in statements published early in the day.