According to accounts from Al-Hayat, an Arabic daily newspaper, since resigning as the Quartet's Middle East envoy Blair has held two meetings with the Hamas leader Khaled Meshaal.

Hamas has been in control of the Gaza strip since 2007. 

One Israeli newspaper also reported that Blair had previously discussed his plans with Israeli Prime Minister Binyamin Netanyahu.

Meetings have reportedly taken place in Qatar, and have centered around the possibility of a temporary ceasefire, which would lift the siege on Gaza.

Al-Hayat also reported Israel would allow a naval corridor to operate between Cyprus and Gaza. In return Hamas would agree to a 10-year ceasefire.