Greece will continue paying its debts, after its ruling Syriza party narrowly rejected a call to miss its next International Monetary Fund loan payment.

Syriza's Central Committee rejected the proposal on Sunday by 95-75, with one blank vote. It also rejected calls to nationalize banks and hold a referendum that would give voters the power to reject any deal in Brussels with the European Union and the IMF over relief in exchange for more fiscal reforms.

This was just the latest push in Greece to miss an IMF payment. Last week, Nikos Filis, the leader of the party's parliamentary group, said Greece's cash crunch is so tight that it might not be able to make a June 5 payment of 300 million euros ($330 million).