Addressing Mexico's foreign and finance ministers and other government officials, Biden said the message expressed about Mexicans and Mexico in the US election campaign is "disturbing," but that this episode of "xenophobia" will pass.
"Some of the rhetoric coming from some presidential candidates of the other team are I think dangerous, damaging and incredibly ill-advised," Biden said.
"But here's what I'm here to tell you: They do not, they do not, they do not represent the view of the vast majority of the American people," he said.
Trump has angered Mexico from the start of his candidacy by declaring that the country was sending rapists across the border and that he would force the neighboring government to pay for a giant wall to keep illegal migrants out.
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The Republican front-runner has also clashed with Pope Francis over the immigration issue after the pontiff said that anyone who "only wants to build walls and not bridges is not a Christian."
Trump initially said Francis's comments were "disgraceful" but he later softened his tone, saying he had a "lot of respect" for the first Latin American pope.
Immigration is a hot-button issue in the US presidential race, which features two Republican candidates who are sons of Cuban immigrants: senators Marco Rubio and Ted Cruz.
But both senators, who are Trump's closest competitors, have taken a hard stance on the issue.
While Rubio backed immigration reform in 2013, he has since hardened his position and now competes with Cruz for support from conservatives demanding more deportations for the 11 million undocumented migrants in the United States.