Israel's rescue service says a pair of shooting attacks in the West Bank has wounded three Israelis, including one critically.

Eli Bin, the head of Magen David Adom, says Sunday's attacks were at the entrance to the Ariel settlement, southwest of the Palestinian city of Nablus. The Israeli military said two attacks took place one after the other and it was pursuing the assailants.

Two Palestinians were killed by Israeli fire last week in separate West Bank incidents after a period of relative calm.

Since 2015, Palestinians have killed over 50 Israelis in stabbings, shootings and car-ramming attacks. Israeli forces have killed more than 260 Palestinians in that same period.

Israel has described most of the Palestinians killed as attackers, but clashes between protesters and soldiers have also turned deadly.