The measure introduced by Senator Lindsey Graham demands the State Department coordinate with lawmakers on setting penalties against nations that seek to help Snowden avoid extradition to the United States, where authorities want him prosecuted for revealing details of the government’s massive surveillance system, according to the Washington Post.
"I don’t know if he’s getting a change of clothes. I don’t know if he’s going to stay in Russia forever. I don’t know where he’s going to go," Graham said. "But I know this: That the right thing to do is to send him back home so he can face charges for the crimes he’s allegedly committed."
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US authorities receive clarification from Russia on Snowden status
Russian authorities have responded to questions from Washington and clarified the situation around Edward Snowden. This was acknowledged on Thursday at a press briefing by deputy spokesperson for the US State Department Marie Harf.
On Wednesday, White House spokesman Jay Carney and spokesperson for the US State Department Jen Psaki said that Washington had asked Moscow to clarify Snowden’s status and notify it of any changes to it.
Snowden earlier requested Russian authorities to grant him temporary asylum.
Snowden remains in the transit area of ​​Moscow's Sheremetyevo Airport, where he arrived on June 23 from Hong Kong.
US pushing Russia towards double standards, human rights violations - Kucherena
The US authorities, which are demanding the extradition of former CIA employee Edward Snowden, are pushing Russia to violate human rights, said lawyer Anatoly Kucherena who is rendering legal assistance to the US whistleblower. Snowden is still staying at the Sheremetyevo airport as his asylum status has not been resolved yet.
"Statements of US officials who demand that Russia transfers Snowden are not meaningful; besides, they are inconsistent with international laws. In fact, they urge Russia to discriminate a US citizen who has asked for temporary asylum and to commit a flagrant violation of human rights," Kucherena said.
By declining to transfer the former US security service officer, "the Russian side operates in strict compliance with international legal norms," he said.
"The entire rhetoric of Washington aims to force Russia to violate elementary human rights and to take the path of double standards," Kucherena said.
"This is an absolutely impermissible and unacceptable action in regard to the seeker of temporary asylum," he noted.
"This position of US politicians and diplomats demonstrates their total neglect of fundamental human rights and freedoms," the lawyer said.
"They practically insist that Russia puts Edward on a plane and sends him to Washington as a package," Kucherena said with indignation.
"This position is in discord with the fundamental principles of freedom and democracy the US government has always been declaring," he said.
Kucherena, who heads the Russian Public Chamber's commission for citizen security and the judiciary, met on Wednesday with the former CIA officer stranded in the transit zone of the Sheremetyevo airport.
European civil society member asks Russia to give Snowden asylum
Russia will make the right decision if it agrees to grant temporary asylum to former CIA employee Edward Snowden, European Social and Economic Committee President Henri Malosse said. 
Malosse said he believes that giving Snowden temporary asylum in Russia would be the right step.
The European civil society representative said he thinks that France would do the same.
The European Social and Economic Committee was established under the Rome Treaty in 1957 as a consultative body to represent Europe's civil society. The committee has been acting as a bridge between European Union institutions and the civil societies of EU member countries. It offers recommendations which EU institutions are required to consider.
A few years ago, the European Commission passed a law intended to protect people who expose violations of ethical standards and laws, Malosse said.
The situation with Mr. Snowden accurately falls under this legislation, he said.
"In an ethical and democratic society, people who reveal serious violations should be protected and should not be put in prison", Malosse said.
"Bradley Manning, who worked closely with whistle-blowing website founder Julian Assange, should not be held in custody," he said. Malosse said he is surprised that Mr. Manning has been taken into custody in a democratic country like the United States.
Russia has no legal grounds to extradite Snowden - FMS Public Council head
Russia does not have legal grounds for extraditing former CIA employee Edward Snowden to the United States, Federal Migration Service Public Council head Vladimir Volokh stated. 
"There are no legal grounds for returning Snowden to the Americans. The transfer of Snowden to the United States would contradict every international legal norm," said Volokh, former deputy head of the Federal Migration Service.
He noted that Russia was unable to transfer Snowden to the United States because it was a member of the Geneva Convention Relating to the Status of Refugees of 1951.
"The convention makes impossible the extradition of a person to the state where this person will be in danger," Volokh said.
Another reason why the transfer is impossible is the request of Snowden for temporary asylum in Russia, he added.
Snowden fled to Hong Kong in May 2013 and exposed US covert online surveillance operations. He is currently staying in the transit zone of the Sheremetyevo airport. The United States is seeking the extradition of Snowden to charge him with a leak of classified data. Russia has received a former temporary asylum request from Snowden.
US wants Snowden 'returned', not extradited – US ambassador
American Ambassador in Russia Michael McFaul has indicated that Washington wants the fleeing intelligence leaker, Edward Snowden, returned to the US and not extradited.
Russian media have cited Mr. McFaul as tweeting in his microblog the US wanted Russia to return Snowden same as it had already returned many people to Russia.
"The US is not asking for ‘extradition’, but simply the return of Mr. Snowden. We have sent many people back to Russia," Mr. McFaul claimed.
The diplomat also tweeted that “Mr. Snowden ought to be returned to the US to face the felony charges against him.”
The fugitive US spy agency contractor, Edward Snowden, has been holed up in a transit area lounge at a Moscow airport after Washington annulled his passport over a month ago.
On July 16, Mr. Snowden applied for temporary asylum in Russia and got a paper saying his request was pending. But the document was deemed not enough to allow him to leave the airport.
Providing any refuge to Snowden is harmful to US-Russia relations - US Sen Menendez
US Senator Robert Menendez warned Russia that granting Edward Snowden an asylum status would harm Russian-US relations, as he faces serious allegations of espionage in the US.
"I repeat my message to Russia that providing any refuge to Edward Snowden will be harmful to US-Russia relations,” said Chairman of the Senate Foreign Relations Committee, Robert Menendez.
“Edward Snowden is a fugitive who should be prosecuted in the US for the serious allegations of espionage. Snowden remains in possession of sensitive documents and for Russia or any nation to grant him asylum or safe passage directly concerns our national security priorities. Edward Snowden’s release of classified information could benefit our enemies and I call on Russia to immediately release him into the custody of the US government.” Snowden case dragging out, US pressure too strong - rights defender Gannushkina