Edward Snowden reportedly sought asylum in Russia on Monday amid signs the U.S. and Russia were looking for a way to end the standoff over the 30-year-old leaker of U.S. security secrets.

Fox News reported Snowden’s request for asylum was given to Russian officials by Sarah Harrison, a representative for WikiLeaks. Fox cited a report by the InterFax News Agency.

Russian President Vladimir Putin earlier on Monday suggested Snowden could stay in Russia, but that he must “stop his work aimed at harming our American partners.”

“If he wants to stay here, there is one condition: He must stop his work aimed at harming our American partners, as strange as that sounds coming from my lips,” Putin told reporters at a gas exporters’ conference in Moscow, according to Reuters. “If he wants to go away somewhere and someone will accept him there, by all means,” Putin said.