In April, the U.S. commissioned a tanker to impound Iranian oil off the coast of Greece.
Chevron and Cyprus are planning the drilling of a new well in the coming months as part of the continued development of the offshore Aphrodite gas field.
Chevron signed an agreement with Egyptian Natural Gas Holding Co. to consider transport, import, liquefication and export of natural gas from offshore Mediterranean fields to Egypt.
In response to the U.S. seizing oil cargo from an Iranian-flagged cargo ship last month, Iran announced it expects the confiscated cargo to be returned in full.
Lebanon on June 5 warned against any activity in the disputed area, responding to the arrival of a vessel operated by London-based Energean to produce gas for Israel.
Eni and TotalEnergies began the drilling of an exploration gas well on Monday off the coast of Cyprus as part of the 'Cronos-1' project.
Cyprus, Israel and Greece have been considering a pipeline connecting east Mediterranean gas discoveries to Europe, but the project took a setback when the U.S. pulled its political support for the project in January.
Greece has had indications of significant gas reserves, in the order of hundreds of billion cubic meters, according to sources.