There is a clear danger that the euro zone could break up unless the bloc implements new rules and sticks to them, Austria's chancellor Werner Faymann told a newspaper.

"When we are not able to set up and keep to more conditions and ground rules, then many countries in the euro zone will no longer be able to pay the very high rates for sovereign bonds," he told Austrian daily Krone in remarks released on Friday.

"The next effect will be that you won't find anyone to buy them. Then the euro zone has to break up because of this...it is a very real danger," he said, when asked if the bloc could split.