DAMASCUS, July 20 (Reuters) - Residents reported calm in Syria's Sweida on Sunday after the Islamist-led government announced that Bedouin fighters had withdrawn from the predominantly Druze city and the United States stepped up calls for an end to days of fighting.

That afternoon, Netanyahu and Katz ordered the Israeli military to once again attack government forces and weaponry in Suweida. They said they were working to prevent them from harming the Druze and to "ensure the demilitarisation" of areas near Israel's border.

The violence erupted in the predominantly Druze city in the province of Suwayda (also known as Sweida) on July 12, two days after a Druze merchant was reportedly abducted on the highway to Damascus. Suwayda is known for its Druze majority but also has a significant Christian population, primarily Greek Orthodox and some Catholic Christians.

Israel launched powerful airstrikes in Damascus on Wednesday, blowing up part of the defence ministry and hitting near the presidential palace as it vowed to destroy government forces attacking Druze in southern Syria and demanded they withdraw.

Secretary of State Rubio says the U.S. is "very concerned" by expanding Israeli strikes targeting Syria's new government, and he wants "the fighting to stop."

Armed Bedouin clans in Syria have withdrawn from the southern city of Sweida after over a week of deadly clashes.

Some Syrian military units are withdrawing from the southern city of Suwayda after days of deadly fighting. Secretary of State Rubio announced late Wednesday that all parties, including Israel, agreed to a ceasefire.

Israel carried out heavy airstrikes in the heart of Damascus on Wednesday, hitting Syrian Defense Ministry headquarters and an area near the presidential palace.

U.S. Secretary of State Marco Rubio said it looked like a "misunderstanding" after Israel struck Syria's defense ministry.

Syria's Islamist-led government said its security forces were deploying in the predominantly Druze southern city of Sweida on Saturday and urged all parties to respect a ceasefire after days of factional bloodshed in which hundreds have been killed.