The deputy leader of Hamas, Mussa Abu Marzouk, flew to Qatar on Saturday to discuss a potential long-term agreement with Israel, according to Israeli radio.
The agreement is expected to include the building of an airport in Gaza for the use of Palestinians, either under the control of an international authority or Israel.
The port project in Gaza has been continuously postponed for a long time.
Palestine Liberation Organization (PLO) negotiator Saeb Erekat has denied the claims that Israeli and Palestinian delegations have renewed negotiations.
He stated that no negotiations or secret talks have been carried out between Palestine and Israel and that peace-talks would not resume in the near future.
According to the BBC, Palestinian authorities had to postpone the sea port project in Gaza Strip during Operation Protective Edge in August 2014, since Israel wanted Hamas and Islamic Jihad to disarm in return for it going ahead.