BERLIN — Looking to defuse Ukraine’s crisis, the United States and Europe are trying to assemble a financial package that could ease the path for a new government there to guide the country out of its current impasse between Europe and Russia, American and European officials say.

The diplomatic push involves regular contact with government and opposition leaders in Ukraine, which has been embroiled in months of turmoil since its president, Viktor F. Yanukovych, rejected political and free-trade accords with Europe and accepted a $15 billion loan package from Moscow.

If that initial snub left the European Union looking outmaneuvered, Mr. Yanukovych now appears more embattled. Last week, in the face of unrelenting street protests, the president was forced to make concessions to his opponents, including sacrificing his pro-Moscow prime minister, who resigned. That prompted the Kremlin to suspend the promised loans, after having disbursed just $3 billion.

With the start of the Winter Olympics in Sochi, Russia, this week, European and American officials say they may have a window of opportunity and some breathing space through the end of February to play a defining role in Ukraine while President Vladimir V. Putin of Russia is engaged in ensuring the success of an event that will draw global attention.