The call is the first contact between elected officials from the outgoing and incoming administrations.
And he has announced that he will attend Biden's January 20 inauguration, which Trump is refusing to do - making him just the fourth president in the nation's history to skip the symbolic passing of the torch.
Trump has maintained he wanted peaceful protests - and did tell his rally supporters to go home on the day of the demonstration that left five dead - but Kudlow has taken issue with the president rejecting the election results because it incited his most fervent supporters. Trump would depart the White House for his Mar-a-Lago resort in Florida just before the inauguration.
Besides the call on Friday, Pence attended the funeral of a late pilot Chuck, and he will deliver addresses on Saturday and Sunday in California and NY, respectively.
Presidential inaugurations are typically accompanied by parties and galas taking place around Washington, D.C., but not amid the continuing novel coronavirus nor freshly heightened security concerns. And last Friday, he called the family of slain Capitol Police officer Brian Sicknick, who died from injuries in the attack. "This inauguration presents a unique opportunity to spotlight the resilience and spirit of an American United", media sources quoted Delaware State University president and Presidential Inauguration Committee CEO Tony Allen in a statement to the outlet.
The traditional in-person meeting between the outgoing president and the president-elect has not happened. Bassist Pete Wentz has a significant tie to the Biden campaign as his parents met while working on a Biden Senate campaign in the '70s.
ABC News first reported the latest details of Harris' inauguration plans.