Israeli border police also stormed a Palestinian university in the occupied West Bank, following more than a month of violence that has raised fears of a third Palestinian intifada, or uprising.

An Israeli in his seventies was left in serious condition after he was stabbed by a Palestinian in Netanya, 30 kilometres north of Tel Aviv.

The attacker was 'neutralised', police said.

Earlier, three Israelis were stabbed in attacks near the central bus station in Rishon LeZion, about 10 kilometres south of Tel Aviv, a police statement said.

The attacker, a 19-year-old Palestinian from Hebron in the West Bank, stabbed two people on the pavement and a third in a clothes store, the statement added.

The foreign ministry said one of the victims was an 80-year-old woman, while the country's medical service said two of the three Israelis stabbed were in severe condition.

The attacker was arrested by security forces after he was locked in the shop, police said.

The attacks were the first outside of the West Bank and Jerusalem since October 22, according to the Israeli authorities.

Nine Israelis, 68 Palestinians, around half of them alleged attackers, and an Arab Israeli have been killed in a wave of violence since the start of October.

The foreign ministry has reported 57 stabbing attempts, six car rammings and five shootings since the beginning of October.

Also yesterday, a 16-year-old Palestinian, Ahmed Abu El Rob, attempted to stab an Israeli soldier at a border crossing in the northern West Bank and was shot dead, police said.

A second Palestinian, allegedly an accomplice, was arrested.

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