Acting Bank of Israel Governor Karnit Flug is back in the running to officially take over as head of the central bank chief, Israeli media reported on Sunday.

Previously passed over as a potential candidate for the governorship, Flug's name was once again raised after Israeli media reported that she had met with Prime Minister Benjamin Netanyahu over the weekend.

Previous central bank governor Stanley Fischer stepped down at the end of June. He had recommended Flug, his deputy, to replace him, but Netanyahu, officials said, preferred candidates with a stronger international standing.

Until now there were three candidates who have been approved by a vetting committee: former Argentinian central bank president Mario Blejer, former Bank of Israel Deputy Governor Zvi Eckstein and former Mizrahi-Tefahot Bank Chief Executive Victor Medina.