This is the third infiltration over Israel's borders this week.
7,000 Syrians were treated in military clinics and another 5,000 in civilian hospitals under Operation Good Neighbor - and it helped secure Israel's borders
Mahmoud Ahmad Sabri al-Adham was killed by IDF fire as he tried to prevent two youths from approaching fence.
US envoy David Satterfield is expected to mediate.
44 trucks have been impounded since the beginning of the year for trying to dump garbage there without permits.
With rumors of a ceasefire, throughout the night of May 29 the IDF stuck targets in Gaza as sirens warned residents of rocket fire.
Gafni called on the government to immediately begin installing a better warning system in the north.
“Thank God it’s quiet right now – but this kind of silence make us very nervous,” he said as he pointed toward the lone kite in the air.
Monday's death toll was the highest in a single day since Operation Protective Edge in 2014.
“For many years, communities under fire have not fully received the full security support they are entitled to based on their classification.”