Members of a German parliamentary committee overseeing the secret services agreed to ask the government to examine the possibility of Snowden answering questions in Moscow, provided it does not create "difficulties" for him there, its chairman Thomas Oppermann said.
The former US National Security Agency (NSA) contractor has said he is ready to help Germany following revelations, based on documents he provided, that have included the tapping of German Chancellor Angela Merkel's phone.
US Secretary of State John Kerry warned in German daily Bild against Snowden being granted asylum and called for his extradition.
"He should be transferred to the US where our justice system guarantees him a fair trial in line with American laws," he was quoted as saying in pre-released German excerpts of Thursday's edition.
Germany has already rejected an asylum request from Snowden earlier this year on the grounds that any applicant must be in the country.