Move shows Likud chief's flexibility on policy, and obligations he has made to potential right-wing allies.
Planned meet with senior Kadima MK Bar-On comes after Livni rejected offer to join Likud-led coalition.
Netanyahu aides: He will also offer Livni 2 of 3 top portfolios, suspend talks with rightist and ultra-Orthodox parties.
Knesset Speaker Itzik: We didn't achieve so much to sit in opposition; Netanyahu, Livni to meet Sun.
Peres to try to promote unity coalition, but eidely expected to ask Netanyahu to form government.
Lieberman backs Netanyahu for PM; Labor, Meretz don't endorse anyone; Shas backs Netanyahu.
Yisrael Beiteinu chairman is suspected of laundering millions of shekels through front companies.