Hamas and Fatah, the two main Palestinian factions, on Monday traded gunfire and recriminations for a second day in the West Bank and the Gaza Strip, leaving 2 people dead and about 20 wounded. The Palestinian Authority president, Mahmoud Abbas, of Fatah, and Prime Minister Ismail Haniya, of Hamas, appealed for calm, and the clashes were not as intense or as widespread as on Sunday. Still, several shootouts erupted as Palestinian officials struggled to end the internal fighting. “We reiterate to our people to be responsible, not to spread the circle of disagreements and conflict,” Mr. Haniya told his cabinet.However, in the southern Gaza town of Rafah, Fatah supporters held a large demonstration on Monday evening and clashed with members of the Executive Force, a security body established earlier this year by the Hamas government. A policeman and a demonstrator were killed, and more than a dozen people were wounded. In an effort to reduce tensions, the Executive Force pulled back from the main streets in Gaza City, where on Sunday it battled other security units and gunmen aligned with Fatah. In both Gaza and the West Bank, many shops, schools and government offices were closed.