Trump was noncommittal before today's scheduled telephone call about whether he was considering lifting the economic sanctions.
"We'll see what happens. As far as the sanctions, very early to be talking about that," he told reporters.
Trump made those remarks Friday alongside British Prime Minister Theresa May, whose country - as part of the European Union - also has punished Russia for its provocations in Ukraine. Voicing the view of many in Europe, May said, "We believe the sanctions should continue."
Two Republican senators Arizona's John McCain, chairman of the Armed Services Committee, and Ohio's Rob Portman, a member of the Foreign Relations Committee - also warned the White House about easing any punishments on Moscow and they pledged to turn the sanctions into law.
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"I hope President Trump will put an end to this speculation and reject such a reckless course," McCain said in a statement. "If he does not, I will work with my colleagues to codify sanctions against Russia into law."
Russia's security chief, Nikolai Patrushev, was quoted by the Interfax news agency as saying he had high hopes for the call. "Everything will be positive," Patrushev said.
US intelligence officials have concluded that Moscow meddled in the 2016 election to help Trump become president. Obama in late December ordered sanctions on Russian spy agencies, closed two Russian compounds and expelled 35 diplomats that the United States said were really spies.
In 2014, Russia annexed Crimea in Ukraine, drawing widespread condemnation in Europe and the United States and a raft of penalties.
McCain has emerged as a frequent critic of Trump among Capitol Hill Republicans. He takes a dim view of trying to reset relations with Moscow and says Trump should remember that Putin is "a murderer and a thug who seeks to undermine American national security interests at every turn."
"For our commander in chief to think otherwise would be naive and dangerous," McCain said.
The bill would impose mandatory visa bans and freeze the financial assets of anyone who carries out cyberattacks against public or private computer systems and democratic institutions.
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