The latest moves by Israel come after Syrian rebel fighters captured the capital, Damascus, and toppled Bashar al-Assad's regime. He and his father had been in power in the country since 1971.
Forces led by the Islamist opposition group Hayat Tahrir al-Sham (HTS) entered Damascus in the early hours of Sunday, before appearing on state television to declare that Syria was now "free".
On Tuesday, HTS said incoming authorities will publish a list with the "names of the most senior officials involved in torturing the Syrian people".
The group said it will offer rewards in exchange for information on "senior army and security officers involved in war crimes."
The Assad regime received much support from Hezbollah and Russia in the country's brutal civil war. With Hezbollah involved in the Israel-Gaza war and cross-border air strikes between Israel and Lebanon, and Russia expending huge resources on its invasion of Ukraine, HTS, along with other rebel groups in Syria, were able to seize on the occasion and were ultimately able to capture large swathes of Syria.
During the 2011 Syrian uprising, Israel made the calculation that Assad, despite being an ally of both Iran and Hezbollah, was a better bet than what might follow his regime.
On Sunday, Netanyahu branded the collapse of the Assad regime a "historic day in the Middle East" and insisted Israel would "send a hand of peace" to Syrians who wanted to live in peace with Israel.
He said the IDF presence in the buffer zone was a "temporary defensive position until a suitable arrangement is found".
"If we can establish neighbourly relations and peaceful relations with the new forces emerging in Syria, that's our desire. But if we do not, we will do whatever it takes to defend the State of Israel and the border of Israel," he said.