Fighting erupted overnight into Monday along the border with Lebanon, Syria's state media said.

This came after the Syrian interim government accused militants from Lebanon's Hezbollah of crossing into Syria on Saturday, kidnapping three soldiers and killing them on Lebanese soil.

Syria's defense ministry on Sunday accused Lebanon's Hezbollah of abducting three soldiers to Lebanon and killing them there, state media reported, as Hezbollah denied any involvement in clashes.

"A group from the Hezbollah militia kidnapped three members of the Syrian army on the Syrian-Lebanese border before taking them to Lebanese territory and eliminating them," the news agency SANA quoted the defense ministry as saying.

Israel's defense minister said the military responded to stray gunfire from Lebanon Sunday, after Lebanese state media and the health ministry reported four deaths in Israeli strikes on the south.

Lebanon's Druze leader Walid Jumblat on Sunday called on the Druze of Syria to preserve their "Arab identity."

Israel's military said it killed two Hezbollah militants Sunday in two separate strikes on Lebanon, its latest deadly raids in the country more than three months into a fragile ceasefire.

A senior Hezbollah official has hinted that the Lebanese group will not lay down its weapons as long as Israel is occupying parts of the country.

Sheikh Mohammed Daamoush made his comments in Beirut during a sermon for Friday prayers adding that Israel’s occupation of five strategic hilltops and the daily violations of a ceasefire aim to pressure Lebanon to normalize relations with Israel.

Parliament Speaker Nabih Berri said Friday that Lebanon won’t accept to give up any inch of its land "under no circumstances", following remarks by Israeli Prime Minister Benjamin Netanyahu that Israeli forces will remain on five hills in south Lebanon.

"Lebanon will resort to all possible means to protect its sovereign rights and liberate the land from Israeli occupation," Berri said, adding that preserving Lebanon and the south is a comprehensive national responsibility and must be a point of unity. "If we are united we can overcome any challenge."

As Lebanon negotiates sticking points with Israel after a 13-months-long war that ended with Israeli troops occupying five "strategic hills" in south Lebanon and frequent violations of a ceasefire reached in late November, the topic of normalizing relations with Israel has come to the spotlight. But will negotiations eventually lead to normalization?

An Israeli political source said that Israel wants to reach normalization with Lebanon. "We and the Americans think that this is possible after the changes that have occurred in Lebanon," the source told Israel’s Channel 12.

A senior delegation from the U.S. Embassy in Beirut on Friday toured the eastern sector of Lebanon’s southern border with Israel, the National News Agency said.

The ceiling of any indirect Lebanese negotiations with Israel will be the 1949 Armistice Agreement and any talks will be aimed at addressing the disputed border points and Israel’s withdrawal from the five occupied hills, a senior Lebanese official said.