NewMed shares were down 1.4% by 1050GMT.
The panel, however, did not receive any other offers, according to several sources close to the matter.
Once the panel concludes the negotiations, it will submit its recommendation to the NewMed board.
BP, Adnoc and NewMed declined to comment.
NewMed's shares have risen by over 50% since the March 28 announcement to around 11.50 NIS, but they still remain below the offer price of 12.05 shekels ($3.15).
Persons:
Hamad, Mohammed, Abu, NewMed, Ron Bousso, Sharon Singleton
Organizations:
United, United Arab Emirates, REUTERS, BP, Abu, Abu Dhabi National Oil Co, 1050GMT, NewMed, Adnoc, ADNOC, Delek, Thomson
Locations:
Abu Dhabi, United Arab, Israel