Some tied the shelling to the Lebanon-based Hezbollah attacks previous year, with some saying that the shelling was retaliation for Hezbollah losing one of its commanders in an Israeli airstrike. It caught the Golan Heights from Syria in the 1967 Middle East war.
Military sources in Tel Aviv said that a mortar shell was sacked towards one of Israel's northern communities.
"Lebanon and Hezbollah will bear the responsibility for any attack from Lebanese territory", Israeli Prime Minister Benjamin Netanyahu said in broadcast remarks, shortly before the reports of the incident. "Hezbollah should know that it is playing with fire". "Any attack against us will be answered with great force", he added.
Al-Mayadeen, a pan-Arabist satellite television channel affiliated with Hezbollah, reported on Saturday that Israel had sent a message to the terror organization, warning it against military revenge for the death of its operative in Syria.
Analysts say Hezbollah and Israel want to avoid an all-out conflict at a time of regional tensions and keep rules of engagement drawn up since the Iran-backed movement fought a one-month war with Israel in 2006.
Israel also warned Hezbollah against retaliation. The group also has gained valuable battlefield experience by fighting alongside Iranian troops backing the forces of President Bashar Assad in the Syrian civil war. Israel has carried out dozens of airstrikes in Syria in recent years targeting what it says are Iranian weapons shipments bound for Hezbollah in Lebanon.
The chairman of the U.S. Joint Chiefs of Staff General Mark Milley paid an unannounced visit to Israel on July 24 and met with senior Israeli military and intelligence officials.
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The possible change to the museum's status has been widely condemned internationally. On Saturday, police had put up barriers around the Hagia Sophia.
Israel said it repelled an attempt by "terrorists" to penetrate its territory, opening fire on the gunmen just after they crossed the frontier with Lebanon.
He asserted that Israeli security forces would continue operating "wherever necessary - however near or far".
"This was a deliberate attempt to cross the Blue Line for hostile purposes", he added.
Syria's state news agency SANA quoted a military source as saying Israeli helicopters targeted three outposts in Syria's southern Quneitra area with anti-tank guided missiles, causing two injuries and some forest fires. Later Monday, the restrictions were lifted.
"There is no risk of breach of information", a military spokesperson said in a statement.
"All that the enemy's media is claiming about thwarting an infiltration operation from Lebanon into occupied Palestine.is completely false".
But Conricus, the military spokesman, said Israel was sure it was Hezbollah - the most powerful force in Lebanon.