Donald Trump Donald John TrumpHouse committee believes it has evidence Trump requested putting ally in charge of Cohen probe: report Vietnamese airline takes steps to open flights to US on sidelines of Trump-Kim summit Manafort's attorneys say he should get less than 10 years in prison MORE's campaign reached out to Ohio Gov. John Kasich in May with an offer to make him the "most powerful vice president in history," The New York Times reported Tuesday.

Trump's oldest son, Donald Trump Jr., reached out to a Kasich adviser after the Ohio governor ended his own Republican presidential campaign, promising that if he accepted the vice presidency, Kasich would be in charge of domestic and foreign policy.

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The adviser asked what Trump would be in charge of, the report said, and Trump Jr. responded: "Making America great again."

Kasich has refused to endorse Trump, the GOP's presidential nominee, for president, and won't speak at this week's Republican National Convention even though it's taking place in his home state.

He has said Trump shouldn't expect an endorsement anytime soon.

"Unless I see a fundamental change in that approach, it’s really hard for me to do a merger," he said in May.

Trump eventually tapped Indiana Gov. Mike Pence Michael (Mike) Richard PencePence meeting with Senate GOP ahead of vote to block emergency declaration 'And the award for best political commentary by an Oscar nominee goes to...' UN nuclear watchdog: Iran maintains compliance with 2015 pact MORE to be his running mate, announcing his decision last week.