The Premier League says the preference is for all clubs to be able to play home and away if the competition resumes next month.
Premier League shareholders discussed Project Restart during virtual talks on Monday, following the government's new guidance on lockdown restrictions.
Top-level sport in England could restart behind closed doors from June 1but spectators may not be able to attend venues until a coronavirus vaccine is found.
The government and UK's top football police officer have suggested that games should be played in neutral venues but that plan was opposed by many relegation-threatened clubs.
Premier League chief executive Richard Masters says it is the preference of all of clubs to play at home and away if possible.
"Everybody would prefer to play home and away if at all possible," Masters said.
"It's clear to see that some clubs feel more strongly about that than others. It is an ongoing dialogue and we've been talking to the authorities about the conditions in which we could get the Premier League back up and running and taking all that advice on board.
"We are working flat out to create a responsible, safe, and deliverable model to complete the season.