Presumptive Republican presidential nominee Donald Trump Donald John TrumpUS reimposes UN sanctions on Iran amid increasing tensions Jeff Flake: Republicans 'should hold the same position' on SCOTUS vacancy as 2016 Trump supporters chant 'Fill that seat' at North Carolina rally MORE offered a welcome to Democratic candidate Bernie Sanders Bernie SandersNYT editorial board remembers Ginsburg: She 'will forever have two legacies' Two GOP governors urge Republicans to hold off on Supreme Court nominee Sanders knocks McConnell: He's going against Ginsburg's 'dying wishes' MORE's supporters in a speech delivered a day after The Associated Press reported Hillary Clinton Hillary Diane Rodham ClintonJeff Flake: Republicans 'should hold the same position' on SCOTUS vacancy as 2016 Momentum growing among Republicans for Supreme Court vote before Election Day Warning signs flash for Lindsey Graham in South Carolina MORE clinched the Democratic presidential nod.

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"To all those Bernie Sanders voters who have been left out in the cold by a rigged system of superdelegates, we welcome you with open arms," Trump said during his speech, which struck an uncharacteristically conciliatory tone after high tensions from within his own party this week.

Trump has often channeled Sanders as a kindred spirit, arguing that both were being kept down by a "rigged system" and applauding his stance on trade. On Tuesday, he equated Clinton with an unfair process.

"We can't fix a rigged system by relying on, and I mean this so strongly, on the very people who rigged it," he added, bashing Clinton and her "corrupt dealings."

"The Clintons have turned the politics of personal enrichment into an art form for themselves," he said.

The speech, one of his few scripted talks, comes hours after Trump was forced to issue a clarification to mounting criticism over his controversial attacks on a federal judge. Trump has said the judge shouldn't be allowed to preside over his Trump University fraud case because of a conflict of interest based on the judge's Mexican heritage.