REUTERS

The letter, whose 12 Republican and 15 Democratic signatories included some leading foreign policy voices from Trump's Republican party, was an early sign that lawmakers will publicly assert themselves on international matters where they disagree with his White House, Reuters wrote.

The New York property developer becomes president on January 20.

Read alsoPutin says Trump clever, will understand new responsibilities – mediaTrump signaled during his campaign that he might take a softer line in dealings with Moscow, repeatedly praising Russian President Vladimir Putin's leadership. Putin said recently Trump confirmed to him that he was willing to mend ties.

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"In light of Russia's continued aggression and repeated refusal to respect Ukraine's territorial integrity and sovereign right to choose its own destiny, we also renew our call for the United States to increase political, economic and military support for Ukraine," said the letter, led by Senators Richard Durbin, a Democrat, and Rob Portman, a Republican, who are co-chairmen of the Senate Ukraine caucus.

Read alsoPoroshenko says Trump asked to elaborate on Russian aggressionIn the letter, seen by Reuters before its public release, the senators also said they believe Russia's annexation of Crimea should not be accepted and the United States should not lift sanctions imposed on Russia for its behavior in eastern Ukraine.

Read alsoU.S. sanctions six Duma MPs in relation to Crimea occupationPresident Barack Obama and Putin have had a challenging relationship, with stark differences over Russia's actions in Ukraine and Syria. Tensions have risen more with Obama's Democratic Party in particular over cyber attacks attributed to Russia during the U.S. presidential election.

Among Republican senators who signed the letter were John McCain, chairman of the Senate Armed Services Committee, and Lindsey Graham, head of the appropriations subcommittee that oversees the State Department.

A majority of Republicans and Democrats on the Senate Foreign Relations Committee, including ranking Democrat Ben Cardin, signed the letter. Jack Reed, the top Democrat on Senate Armed Services, also did so.