European Commission chief Ursula von der Leyen is expected to discuss the proposal in Brussels with Mateusz Morawiecki of Poland, Viktor Orban of Hungary and Andrej Babiš of the Czech Republic.
Those three countries are part of a regional cooperation platform called the Visegrad Group. Poland and Hungary have in the past lashed out after pressure from Brussels to take in migrants from the Middle East.
"The topics of the meeting [on Thursday] are to be, among other things, the new European Commission proposal on migration and asylum, and the EU budget," Polish state news agency PAP cited a source as saying.
The Reuters news agency reported that the European Union's executive on Wednesday launched a plan for overhauling migration rules in a bid to end years of bitter feuds in the bloc and provide a better welcome for refugees fleeing the Middle East and Africa.
The plan aims to step up returns, including by restricting visas for citizens of countries that refuse to take their nationals back.
The plans would also legally oblige all member states, in exchange for funding from the EU budget, to host some refugees - something rejected by Poland, Hungary, Austria, Slovenia, the Czech Republic and others, Reuters reported.