American officials said they presented a range of ideas on how a compromise over Crimea might be achieved, including arrangements to expand the peninsula’s autonomy and safeguard the rights of the Russian-speaking population.

But the officials said that Russia’s foreign minister, Sergey V. Lavrov, appeared to have little or no leeway to negotiate and that President Vladimir V. Putin was determined that Crimea’s referendum on seceding from Ukraine should proceed on Sunday.

“I presented a number of ideas on behalf of the president,” Mr. Kerry said in a news conference after the talks. “After much discussion, the foreign minister made it clear that President Putin is not prepared to make any decision on Ukraine until after the referendum on Sunday.”