JD Vance and Susie Wiles pushed Elon Musk to repair his relationship with President Trump after the tech billionaire blew up at the president in a dramatic and public falling out, according to people familiar with the matter. In a call last Friday, the vice president and the White House chief of staff urged Musk to put an end to the feud.

"I regret some of my posts about President Donald Trump last week. They went too far," Musk wrote in a post on his social media platform X, without specifying which posts he was talking about.

Republican lawmakers and high-profile Trump allies have spent the last week quietly reaching out to Musk, urging him to not only reconcile with the president, but also support his domestic policy bil...