Other countries meanwhile have taken in hardly and refugees. Separately, people in the Netherlands are taking part in referendum on an EU free trade deal with Ukraine. They will be given the choice of voting for or against ratification of the deal.
Correspondents say the non-binding referendum is being viewed by many as an opportunity to protest against the EU´s expansion and what they consider to be its undemocratic decision-making processes.
If not enough votes to pass the deal, the government can introduce new legislation which in effect would cancel its ratification. Likewise if there is a vote in favour it can advise parliament to uphold the ratification.
EU Commission President Jean-Claude Juncker has described the stakes in the run-up to the vote as being high, warning that a "No´" vote could trigger a wider crisis in the 28-member bloc.
Errors in the system
Under the Dublin Regulation, countries have the power to return asylum seekers to the first EU state they entered for their claim to be dealt with there. Whereby, the EU country a migrant first arrives in must deal with their asylum claims has left some nation, especially Greece and Italy battling to cope with hundreds of thousands of people seeking protection.
The European Commission is likely to suggest either a modest change that preserves the current system but adds a "fairness" provision so a country struggling to cope can get help, The BBC correspondent says.
A second, more radical option would be to scrap the existing rules and distribute refugees around Europe. However the many eastern European states specially UK have made clear they want to keep the system which allows them to return asylum seekers to the country where they entered the EU.
According to the Guardian, David Cameron will claim on Wednesday that Britain has won a battle in the EU that will prevent more asylum seekers from travelling to the UK and allow those who do arrive to be returned to elsewhere in Europe.
Greece paused deportations of migrants to Turkey on Tuesday, a day after the first boats took back 202 people under a controversial EU plan to cut off a migrant route to Europe.
Hundreds more are due to be removed later this week, but the migrants are arriving in Greece faster than they can be sent back.