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Protesters scuffled with police outside military headquarters in Tel Aviv after a wave of public protests and threats against officials involved in the prosecution of the 20-year-old French-Israeli infantryman sparked since a military court found Elor Azaria guilty on Wednesday.

Radio and television channels broadcast recordings of the demonstrators chanting that the chief of staff Lieutenant General Gadi Eisenkot - who ordered the prosecution of Azaria - should beware unless he wanted to share the fate of prime minister Yitzhak Rabin, who was assassinated by a Jewish extremist in 1995.

"Gadi, Gadi be careful, Rabin is looking for a friend," they shouted.

Two people have already been arrested for making death threats in the case which has angered Israel's right-wing.

Seven people more were arrested by Israeli police overnight following an unruly protest against the manslaughter conviction of a soldier for shooting dead a wounded Palestinian, police said on Sunday.

Those detained are accused of public order offences during a demonstration outside the Jerusalem residence of President Reuven Rivlin following a reconciliation rally in Tel Aviv.

An eighth person was arrested on charges of seeking to disrupt Saturday's rally in the commercial capital.

Another was detained on suspicion of taking part in a hate campaign against the armed forces chief of staff.

"During the night dozens of demonstrators arrived opposite the president's residence where they wanted to carry out an illegal protest in support of the soldier Elor Azaria," a police statement said.

"Some of them blocked the road and refused to obey police instructions. Seven demonstrators were arrested for breach of public order."

Saturday's unity rally, convened after a Facebook appeal by reserve Captain Ziv Shilon, was held in Tel Aviv's Rabin Square.

Azaria's conviction has deeply divided Israeli public opinion between those who believe he was wrongly tried and those who say the conviction was the right and proper consequence of his actions.

Right-wing politicians - including Prime Minister Binyamin Netanyahu - have already called for Azaria to be pardoned, even though he has yet to be sentenced and his lawyers say he may appeal.

Public radio said about 1,500 people gathered in Rabin Square following the appeal by Shilon, who was seriously wounded in 2012 by a Palestinian roadside bomb as he patrolled Israel's border with Gaza.

Shilon said he was appalled at the wave of hate unleashed in the wake of the verdict against Azaria, caught on video delivering a shot to the head of a Palestinian attacker as he lay wounded on the ground.

But even the attempt at reconciliation was marred by a small but vocal group of Azaria supporters who screamed abuse at other participants they perceived as being insufficiently sympathetic.

"You are the cancer of the country," they were heard shouting in radio reports. "You have no right to exist."

Israel's military has assigned bodyguards to all three judges who convicted Azaria.