Earlier, the army said it fired at the three men after they were spotted, and that they hightailed it back inside the Hamas-run enclave.
The protesters gathered Saturday outside of British prime minister's residence on Downing Street and also voiced their anger at UK's silence versus the abuses being inflicted on Palestinians by the Israeli forces as the country's Labour Party Leader Jeremy Corbyn slammed Western inaction over the regime's killing of over 30 Palestinians during anti-occupation protests in the besieged Gaza Strip.
Israel has chose to ban the entry of auto tires into the Gaza Strip through the Kerem Shalom commercial crossing, a Palestinian official said on Saturday.
"France calls on the authorities concerned to exercise the utmost restraint and stresses that the use of force must be proportionate, in accordance with worldwide humanitarian law to prevent further victims", the statement added.
During the protests, Palestinians built a tent encampment with different tents corresponding to the various villages and towns that were destroyed during the Nakba 70 years ago.
In total 32 Palestinians have been shot dead by Israeli forces.
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There have been no reported Israeli casualties during the protests.
"The march is organized by refugees, doctors, lawyers, university students, Palestinian intellectuals, academics, civil society organizations and Palestinian families", Asad Abu Sharekh, the spokesperson of the march, told Al Jazeera.
The United Nations High Commissioner for Human Rights stated its "grave concern" for further violence ahead of Friday's demonstrations. Palestinians seek east Jerusalem as their future capital and view Trump's decision as siding with Israel.
Having failed to condemn Israel's premeditated slaughter last week, the European Union put out a statement Thursday night urging Palestinians to "avoid any incitement to violence" and to "remain strictly nonviolent", even though not a single Israeli has been reported injured as a result of the protests.
EU Foreign Policy Chief Federica Mogherini said Friday that Israel's firing on the Gazans "raises serious questions about the proportionate use of force which must be addressed". Israel has no official death toll figures. Hundreds more have been hurt from rubber bullets and tear gas.
At least 491 people were also wounded by Israeli gunfire, the ministry said, as thousands of protesters approached the border fence around Gaza for a second Friday in a row, burning tyres and hurling stones at Israeli forces.
Five Israelis - three settlers and two soldiers - were killed by Palestinians in the West Bank during the same period.