ATHENS — An unexpected new effort by Greece to compromise with its creditors on a bailout package prompted a cool response from most of the rest of Europe on Wednesday as efforts to find a way out of the financial crisis confronting Athens remained chaotic.

On another day of twists and turns, Prime Minister Alexis Tsipras’s government said it would be willing to accept many of the terms of a bailout package that it had previously rejected, if they are part of a broader deal to address the country’s funding needs for the next two years.

While reviving hopes for a deal to end Greece’s financial crisis, the seeming reversal by Mr. Tsipras underscored the confusion over his strategy and the status of the negotiations. The sudden turn of events raised questions about what offer was still on the table for Greece, whether Mr. Tsipras would go ahead with a referendum scheduled for Sunday and, if so, what deal Greeks would actually be voting on.