On Wednesday, Israeli officials seized upon remarks by a senior Hamas member who said 50 of the 62 Palestinians killed this week were members of the group, arguing it showed the protests were not peaceful.
Sderot Mayor Alon Davidi called upon the IDF to respond "in full force" to the bullet fire.
But the organizers of the Hamas-led border marches rejected two of the trucks, which had come from Israel, despite widespread shortages of key supplies.
Israeli troops opened fire on Palestinian protests in Gaza trying to breach the border, killing some 60 people and wounding thousands.
The bloodshed continued to draw world attention as violence abated late Wednesday, on the eve of the holy Muslim fasting month of Ramadan.
Palestinian security sources confirmed the target was a Hamas base, saying there were no reports of injuries.
On Monday 14 May, some sixty protesters, mostly young men and boys, were said to have been killed and seventeen hundred wounded during the clashes.More news: The troubled history of the East Coast rail franchise
The Israeli army accuses Hamas of using the cover of the demonstrations to approach and damage the border fence, including laying explosive devices and attacking soldiers, and insists its actions are necessary to defend the border and prevent mass infiltrations.
"They were keen these marches do not slide into armed confrontations and we agree with the brothers in Egypt over that", Sinwar said in an interview on Al Jazeera television.
The comments were welcomed by Israeli military spokesman Lieutenant Colonel Jonathan Conricus, who said Bardawil had "set the record straight". Israel disputes this and says some of those killed were firing at its troops. "Take his word for it".
"Violent clashes erupted Monday between Palestinian protesters and the IDF on the Gaza border on the backdrop of the opening of the new U.S. Embassy in Jerusalem", YNetNews.com explained. Paraguay is slated to do the same next week.
The foreign ministers' meeting is being held upon the request of Saudi Arabia, which presides the current session of the Arab Summit, in order to reach a unified Arab decision regarding the Israeli aggression against Palestinians and the unlawful decision to move the U.S. Embassy to Jerusalem, assistant Secretary-General of the Arab League, Hossam Zaki, previously stated. Those talks have been stalled since 2014.
Israel regards all of the city, including the eastern sector it annexed after the 1967 conflict, as its capital.
Representatives from Cameroon, Congo, Ivory Coast, Rwanda, South Sudan, Nigeria, Kenya, Ethiopia, Tanzania, Angola, Zambia and the Democratic Republic of the Congo attended the event hosted by the Israeli government, and which marked America's official recognition of Jerusalem as the capital city of Israel.