BRUSSELS — European officials vowed on Tuesday to support banks that fail stress tests but left unresolved deep disputes that have held up a second rescue package for Greece.

The results of the stress tests, which are scheduled to be released on Friday, could pose a headache for the 27 European Union finance ministers who met here to discuss ways to ease the region’s financial turmoil.

Olli Rehn, the European Union’s commissioner for economic and monetary affairs, said that once vulnerable banks were identified they “must recapitalize themselves, or be recapitalized or restructured.”

In a statement, the finance ministers said that backstop mechanisms would aid struggling banks.

“These measures privilege private sector solutions but also include a solid framework for the provision of government support in case of need, in line with state aid rules,” the statement said.