The Times' Robert Draper reported:

But according to the Kasich adviser (who spoke only under the condition that he not be named), Donald Jr. wanted to make him an offer nonetheless: Did he have any interest in being the most powerful vice president in history?

When Kasich’s adviser asked how this would be the case, Donald Jr. explained that his father’s vice president would be in charge of domestic and foreign policy.

Then what, the adviser asked, would Trump be in charge of?

“Making America great again” was the casual reply.

Paul Manafort, Trump's campaign chair, indicated in a May interview with the Huffington Post that the vice president would play a large role in the day-to-day operations of a Trump White House.

"He needs an experienced person to do the part of the job he doesn’t want to do. He seems himself more as the chairman of the board, than even the CEO, let alone the COO," Manafort said.

Kasich was one of the Trump campaign's top picks for vice president, but the Ohio governor told Trump that they were too different to run together, according to the New York Times.

Kasich also declined to endorse Trump at the Republican convention in Cleveland.