England and Wales Cricket Board spokesman Andrew Walpole told reporters: "We have until 6 pm tomorrow night to deliver our legal submission to the World Cup technical committee."
The game was scheduled for Thursday but the England board refused to travel to the strife-torn country because of their players' safety concerns.
The ECB continued to argue after losing a supposedly binding appeal over the issue after the International Cricket Council ruled Harare was safe.
The matter will now return to the tournament technical committee for a second time. It will decide either to switch the match to South Africa, cancel the game altogether and share out the points or award a win to Zimbabwe by default.
The ICC has yet to set a date for the committee hearing. Sources close to the negotiations said the matter was not likely to be resolved until next week at the earliest.
