The Israel Defense Forces said Monday that Israel's frontiers are quiet after a violent day of border breaches, though security forces remained on alert for more violence.
Israel Police arrested Monday an unarmed man from Syria who tried to make his way out of the Golan Heights into central Israel.
Police spokesman Micky Rosenfeld said the man was stopped in a taxi driven by a Palestinian from East Jerusalem at the exit of the Golan village of Majdal Shams.
Israeli security forces fear that Sunday's Nakba Day events may be a model for additional violence aimed toward Israel, and may trigger further protests for Palestinian refugees.
Rosenfeld said police carried out house-to-house searches in Majdal Shams all night looking for some of the hundreds of people from Syria who burst through a border fence into the village Sunday.
Other Arab protesters marched on Israel's borders with Lebanon and Gaza.
The protests sparked clashes that killed at least 15 people.
On Sunday, two demonstrators were killed in clashes near Majdal Shams on the Syrian border and between three and 10 people were killed in Maroun a-Ras on the Lebanese border.
The IDF said that the incidents clearly bore Iran's fingerprints.
The Lebanese army said that 10 people were killed and 112 were wounded in Maroun a-Ras when IDF troops opened fire on demonstrators trying to cross the border.
The Lebanese army said it was in a state of maximum alert and had coordinated with UN peacekeepers in southern Lebanon "to prevent the enemy from continuing its targeting of the masses and its violation of Lebanese sovereignty".