A delegation of senators looked to up pressure on Russian President Vladimir Putin Saturday, as tensions around Ukraine heightened.

The eight lawmakers blasted the Russian leader while traveling through Ukraine and called Sunday's secession referendum in Crimea rigged and illegitimate. Some of the senators asked for the U.S. to provide military equipment to Ukrainian troops, and the group vowed crippling economic sanctions against Russia until the nation pulled back.

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“This is the person that stated that the greatest catastrophe of the 20th century was the breakup of the Soviet Union,” said Sen. John McCainJohn McCainSenate healthcare bill appears headed for failure Trump backers eye GOP primary challenges for Flake, Heller Manchin bashes GOP candidate for pushing McCain to resign MORE (R-Ariz.) of Putin. “We have to treat him for what he is. That does not reignite the Cold War, but it means we enact steps that make it clear ... that his ambitions will not be realized by the great community of nations that would resist him.”

“There’s one person I hold accountable for this aggression. It’s Vladimir Putin,” added Sen. Ron JohnsonRon JohnsonCruz: Tax reform chances ‘drop significantly’ if healthcare fails GOP frets over stalled agenda Conservatives target Congress, not Trump, after healthcare collapse MORE (R-Wis.). “If there’s further bloodshed, there’s also one person I will hold accountable.”

The bipartisan group hoped their presence in Ukraine would underline the united support the U.S. is providing to the nation, ushering in a new government while Russian forces are amassing along its border.

“We are standing here united,” said Sen. Chris MurphyChris MurphySenate Dems question admin over funding anti-ObamaCare effort Dems see huge field emerging to take on Trump Administration briefs Senate on progress against ISIS MORE (D-Conn.). “There will be consequences for the actions that have already been taken ... there’s a price to be paid for this type of aggression.”

The other senators in the delegation were Sens. Dick DurbinDick DurbinTop Dem: Trump’s voter fraud commission will accomplish what Putin wants Senators who have felt McCain's wrath talk of their respect for him Graham and Kushner met to discuss immigration differences: report MORE (D-Ill.), Sheldon WhitehouseSheldon WhitehouseGore wishes Mikulski a happy birthday at 'Inconvenient Sequel' premiere Live coverage: Trump's FBI nominee questioned by senators Committees vie to be first to question Trump Jr. MORE (D-R.I.), John BarrassoJohn BarrassoTop Republican: Senate will vote to proceed to House healthcare bill Sunday shows preview: Scaramucci makes TV debut as new communication chief Senate panel won’t vote on bill to boost ethanol MORE (R-Wyo.), John HoevenJohn HoevenMcCain absence adds to GOP agenda’s uncertainty McCain diagnosis looms over GOP healthcare talks This week: ObamaCare repeal faces latest setback in Senate MORE (R-N.D.) and Jeff FlakeJeff FlakeTrump slams 'sad' Republicans who won't 'protect' him Trump backers eye GOP primary challenges for Flake, Heller McCain’s primary challenger asks him to step aside after diagnosis MORE (R-Ariz.).

While McCain and Durbin have backed sending weapons to Ukraine, no senator suggested that the U.S get directly involved in a military response.

The group dismissed the legitimacy of Sunday’s election on the future of Crimea, as McCain called it “phony” and Durbin described it as “Soviet-style.”

Their criticism came shortly after Russia vetoed a United Nations resolution condemning the referendum. China abstained from the vote, but all other voting nations backed it.